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Constructive Approximation

An International Journal for Approximations and Expansions

Short Title: Constr. Approx.
Publisher: Springer US, New York, NY
ISSN: 0176-4276; 1432-0940/e
Online: https://link.springer.com/journal/365/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,334 Publications (since 1985)
References Indexed: 981 Publications with 22,877 References.
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Latest Issues

59, No. 3 (2024)
59, No. 2 (2024)
59, No. 1 (2024)
58, No. 3 (2023)
58, No. 2 (2023)
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57, No. 3 (2023)
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34, No. 3 (2011)
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32, No. 3 (2010)
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29, No. 3 (2009)
29, No. 2 (2009)
29, No. 1 (2009)
28, No. 3 (2008)
28, No. 2 (2008)
28, No. 1 (2008)
27, No. 3 (2008)
27, No. 2 (2008)
27, No. 1 (2008)
26, No. 3 (2007)
...and 85 more Volumes
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Authors

28 Lubinsky, Doron S.
23 Saff, Edward Barry
20 DeVore, Ronald A.
20 Temlyakov, Vladimir Nikolaevich
18 Totik, Vilmos
16 Andrievskii, Vladimir V.
15 Xu, Yuan
14 López Lagomasino, Guillermo Tomás
13 Erdélyi, Tamás
13 Petrushev, Pencho P.
12 Borwein, Peter Benjamin
12 Dai, Feng
11 Dahmen, Wolfgang A.
11 Kroó, András
11 Leviatan, Dany
11 Van Assche, Walter
10 Dyn, Nira
10 Ron, Amos
10 Stahl, Herbert Robert
9 Ditzian, Zeev
9 Hardin, Douglas P.
9 Ismail, Mourad El-Houssieny
9 Kuijlaars, Arno B. J.
9 Micchelli, Charles A.
9 Nevai, Paul G.
9 Schumaker, Larry L.
9 Shekhtman, Boris
9 Ward, Joseph Dinneen
8 Cohen, Albert
8 Geronimo, Jeffrey S.
8 Kerkyacharian, Gérard
8 Levenberg, Norman jun.
8 Ruscheweyh, Stephan
8 Wielonsky, Franck
7 Blatt, Hans-Peter
7 Bloom, Thomas
7 Daubechies, Ingrid
7 de Boor, Carl
7 Durán, Antonio José
7 Goodman, Timothy N. T.
7 Ivanov, Kamen G.
7 Koelink, Erik
7 Mazure, Marie-Laurence
7 Peherstorfer, Franz
7 Wojtaszczyk, Przemyslaw
6 Baratchart, Laurent
6 Beckermann, Bernhard
6 Bos, Len P.
6 Dubuc, Serge
6 Gröchenig, Karlheinz
6 Jia, Rong-Qing
6 Johnson, Michael James
6 Levin, A. L.
6 Martínez-Finkelshtein, Andrei
6 Nürnberger, Günther
6 Petrova, Guergana
6 Picard, Dominique B.
6 Shevchuk, Igor Oleksandrovych
6 Stylianopoulos, Nikos S.
6 Szwarc, Ryszard
6 Ullrich, Tino
6 Varga, Richard Steven
5 Bertola, Marco
5 Christiansen, Jacob Stordal
5 Chui, Charles Kam-tai
5 Dragnev, Peter D.
5 Forrester, Peter J.
5 Foucart, Simon
5 Ganzburg, Michael Iosifovich
5 Griebel, Michael
5 Grohs, Philipp
5 Kopotun, Kirill A.
5 Kutyniok, Gitta
5 Levin, David N.
5 Li, Zhongkai
5 López, José Luis
5 Lyche, Tom
5 Maiorov, Vitaly Evgen’evich
5 Máté, Attila
5 Mhaskar, Hrushikesh N.
5 Pinkus, Allan M.
5 Scherer, Karl
5 Shen, Zuowei
5 Simon, Barry
5 Tikhonov, Sergey Yur’evich
5 Waldron, Shayne F. D.
5 Woźniakowski, Henryk
4 Albiac, Fernando
4 Ansorena, José Luis
4 Beltrán, Carlos E.
4 Berg, Christian
4 Berná, Pablo Manuel
4 Boyanov, Borislav Dechev
4 Braess, Dietrich
4 Brauchart, Johann S.
4 Davydov, Oleg V.
4 de la Calle Ysern, Bernardo
4 Gaier, Dieter
4 Gardiner, Stephen J.
4 Gribonval, Rémi
...and 1,285 more Authors
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Fields

748 Approximations and expansions (41-XX)
377 Harmonic analysis on Euclidean spaces (42-XX)
259 Functions of a complex variable (30-XX)
235 Numerical analysis (65-XX)
184 Special functions (33-XX)
128 Functional analysis (46-XX)
90 Operator theory (47-XX)
71 Real functions (26-XX)
65 Potential theory (31-XX)
61 Probability theory and stochastic processes (60-XX)
55 Computer science (68-XX)
54 Ordinary differential equations (34-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
42 Information and communication theory, circuits (94-XX)
39 Number theory (11-XX)
34 Measure and integration (28-XX)
34 Partial differential equations (35-XX)
33 Difference and functional equations (39-XX)
30 Statistics (62-XX)
28 Integral transforms, operational calculus (44-XX)
23 Dynamical systems and ergodic theory (37-XX)
20 Several complex variables and analytic spaces (32-XX)
20 Abstract harmonic analysis (43-XX)
19 Convex and discrete geometry (52-XX)
18 Combinatorics (05-XX)
16 Sequences, series, summability (40-XX)
16 Quantum theory (81-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Operations research, mathematical programming (90-XX)
11 Algebraic geometry (14-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Systems theory; control (93-XX)
8 Topological groups, Lie groups (22-XX)
7 General topology (54-XX)
6 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Commutative algebra (13-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Group theory and generalizations (20-XX)
3 Field theory and polynomials (12-XX)
3 Biology and other natural sciences (92-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)

Publications by Year

Citations contained in zbMATH Open

1,195 Publications have been cited 15,851 times in 11,420 Documents Cited by Year
Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005
Micchelli, Charles A.
457
1986
Fractal functions and interpolation. Zbl 0606.41005
Barnsley, Michael F.
331
1986
Symmetric iterative interpolation processes. Zbl 0659.65004
Deslauriers, Gilles; Dubuc, Serge
286
1989
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
251
2007
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
247
2008
Adaptive greedy approximations. Zbl 0885.41006
Davis, G.; Mallat, S.; Avellaneda, M.
129
1997
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
120
1993
Recurrent iterated function systems. Zbl 0659.60045
Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P.
116
1989
Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). Zbl 0582.41009
Mhaskar, H. N.; Saff, E. B.
102
1985
\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. Zbl 1228.65069
Khoromskij, Boris N.
100
2011
On early stopping in gradient descent learning. Zbl 1125.62035
Yao, Yuan; Rosasco, Lorenzo; Caponnetto, Andrea
90
2007
Multivariate cardinal interpolation with radial-basis functions. Zbl 0719.41007
Buhmann, M. D.
82
1990
Weighted polynomial inequalities with doubling and \(A_\infty\) weights. Zbl 0956.42001
Mastroianni, Giuseppe; Totik, Vilmos
81
2000
Multivariate interpolation by polynomials and radial basis functions. Zbl 1076.41003
Schaback, Robert
79
2005
The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.
79
2003
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
78
1992
Summation and transformation formulas for elliptic hypergeometric series. Zbl 1040.33013
Warnaar, S. O.
70
2002
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
70
1990
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
69
2004
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions. Zbl 1120.41022
Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger
69
2006
Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights. Zbl 0762.41011
Levin, A. L.; Lubinsky, D. S.
66
1992
Simple cubature formulas with high polynomial exactness. Zbl 0942.41018
Novak, Erich; Ritter, Klaus
66
1999
The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\). Zbl 0646.41008
Alfeld, Peter; Schumaker, L. L.
65
1987
Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011
Dyn, Nira; Gregory, John A.; Levin, David
64
1991
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
64
2013
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
64
2001
Orthogonal polynomials with complex-valued weight function. I. Zbl 0592.42016
Stahl, Herbert
59
1986
Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
59
2021
Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004
Carnicer, J. M.; Mainar, E.; Peña, J. M.
58
2004
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
Speleers, Hendrik
58
2013
Convexity preserving interpolatory subdivision schemes. Zbl 0918.41002
Kuijt, F.; van Damme, R.
57
1998
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; Shen, Zuowei
55
2009
Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A.
54
2000
On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection. Zbl 1302.65267
Karkulik, Michael; Pavlicek, David; Praetorius, Dirk
54
2013
A recurrence relation for Chebyshevian B-splines. Zbl 0583.41011
Lyche, Tom
54
1985
Intrinsic localization of frames. Zbl 1130.41304
Fornasier, Massimo; Gröchenig, Karlheinz
54
2005
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
53
1997
Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017
Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing
52
2004
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
52
1988
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
52
2008
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
52
2017
Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\). Zbl 0822.46031
Ditzian, Z.; Hristov, V. H.; Ivanov, K. G.
51
1995
On classical orthogonal polynomials. Zbl 0837.33010
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K.
51
1995
Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017
López, G.; Marcellán, F.; Van Assche, Walter
51
1995
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
51
2009
Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. Zbl 1252.46018
Steinwart, Ingo; Scovel, Clint
51
2012
Blossoming: A geometrical approach. Zbl 0924.65010
Mazure, M.-L.
50
1999
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. Zbl 1117.15025
Vanlessen, M.
50
2007
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
49
2022
Approximation order provided by refinable function vectors. Zbl 0870.41015
Plonka, G.
48
1997
Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials. Zbl 0987.41016
Israfilov, D. M.
48
2001
Greedy algorithm and \(m\)-term trigonometric approximation. Zbl 0931.42002
Temlyakov, V. N.
47
1998
The genetic sums’ representation for the moments of a system of Stieltjes functions and its application. Zbl 0966.41009
Aptekarev, A.; Kaliaguine, V.; Van Iseghem, J.
47
2000
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
47
2012
Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
47
1985
Generalized shift-invariant systems. Zbl 1080.42025
Ron, Amos; Shen, Zuowei
47
2005
Optimized tensor-product approximation spaces. Zbl 0969.65107
Griebel, M.; Knapek, S.
46
2000
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
46
1998
A boundedness criterion via atoms for linear operators in Hardy spaces. Zbl 1283.42029
Yang, Dachun; Zhou, Yuan
46
2009
Chebyshev spaces and Bernstein bases. Zbl 1116.41006
Mazure, Marie-Laurence
46
2005
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E.
45
1997
Tight frames and their symmetries. Zbl 1059.42026
Vale, Richard; Waldron, Shayne
44
2005
Nikishin systems are perfect. Zbl 1258.30015
Fidalgo Prieto, U.; López Lagomasino, G.
44
2011
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
44
1987
Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
44
2015
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011
Ron, Amos
42
1989
An \(n\)-dimensional Clough-Tocher interpolant. Zbl 0631.41003
Worsey, A. J.; Farin, G.
41
1987
Wavelets and self-affine tilings. Zbl 0813.42021
Strichartz, Robert S.
40
1993
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
40
1992
Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere. Zbl 1391.82002
Bétermin, Laurent; Sandier, Etienne
40
2018
Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156
Le Bris, C.; Lelièvre, T.; Maday, Y.
40
2009
Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034
Geronimo, Jeffrey S.; Iliev, Plamen
39
2010
Constrained \(L_ p\) approximation. Zbl 0582.41002
Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.
39
1985
Constructive representation of functions in low-rank tensor formats. Zbl 1282.15021
Oseledets, I. V.
39
2013
Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
39
2022
Vector-valued, rational interpolants. III. Zbl 0614.41016
Graves-Morris, P. R.; Jenkins, C. D.
38
1986
Symmetric framelets. Zbl 1037.42038
Petukhov, Alexander
37
2003
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
37
2000
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
37
2008
Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). Zbl 1185.65051
Khoromskij, Boris N.
37
2009
Analysis of the intrinsic mode functions. Zbl 1100.94006
Sharpley, Robert C.; Vatchev, Vesselin
37
2006
Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory. Zbl 1204.68157
Minh, Ha Quang
37
2010
The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation. Zbl 1321.34115
Clarkson, Peter A.; Jordaan, Kerstin
37
2014
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
36
2004
Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. Zbl 1210.41010
Gröchenig, Karlheinz; Klotz, Andreas
36
2010
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
Jetter, Kurt; Zhou, Ding-Xuan
35
1995
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
Buhmann, M. D.; Dyn, N.; Levin, D.
35
1995
The Marcinkiewicz-type discretization theorems. Zbl 1404.41012
Temlyakov, V. N.
35
2018
Polynomial inequalities on measurable sets and their applications. Zbl 0991.41008
Ganzburg, M. I.
35
2001
Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014
Novak, Erich; Triebel, Hans
35
2006
DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 1500.35009
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
35
2022
Fractional Laplace operator and Meijer G-function. Zbl 1365.35204
Dyda, Bartłomiej; Kuznetsov, Alexey; Kwaśnicki, Mateusz
35
2017
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
34
1993
Lagrange interpolation in weighted Besov spaces. Zbl 0926.41001
Mastroianni, G.; Russo, M. G.
34
1999
Elliptic integral inequalities with applications. Zbl 0901.33011
Anderson, G. D.; Qiu, S.-L.; Vamanamurthy, M. K.
34
1998
Exponential box splines. Zbl 0674.41005
Ron, Amos
34
1988
Spectrality of self-similar tiles. Zbl 1329.42032
Fu, Xiaoye; He, Xinggang; Lau, Ka-Sing
34
2015
Approximation by radial basis functions with finitely many centers. Zbl 0855.41011
Schaback, R.
33
1996
Regularity of multivariate refinable functions. Zbl 0937.42017
Cohen, A.; Gröchenig, K.; Villemoes, L. F.
33
1999
On existence and weak stability of matrix refinable functions. Zbl 0932.42028
Jiang, Qingtang; Shen, Zuowei
33
1999
Minimum energy problems with external fields on locally compact spaces. Zbl 1536.31027
Zorii, Natalia
1
2024
Uniform asymptotic expansions for Gegenbauer polynomials and related functions via differential equations having a simple pole. Zbl 07829198
Dunster, T. M.
1
2024
Recursion formulas for integrated products of Jacobi polynomials. Zbl 07852933
Beuchler, Sven; Haubold, Tim; Pillwein, Veronika
1
2024
A Malmquist-Steinmetz theorem for difference equations. Zbl 07852934
Zhang, Yueyang; Korhonen, Risto
1
2024
Riesz energy problems with external fields and related theory. Zbl 1516.31014
Dragnev, P. D.; Orive, R.; Saff, E. B.; Wielonsky, F.
5
2023
Bidemocratic bases and their connections with other greedy-type bases. Zbl 1528.41090
Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia
4
2023
Constructive approximation on graded meshes for the integral fractional Laplacian. Zbl 07680067
Borthagaray, Juan Pablo; Nochetto, Ricardo H.
4
2023
Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. Zbl 07678815
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard
3
2023
Fourier interpolation with zeros of zeta and \(L\)-functions. Zbl 1528.11076
Bondarenko, Andriy; Radchenko, Danylo; Seip, Kristian
3
2023
Sampling discretization of the uniform norm. Zbl 1528.41067
Kashin, B.; Konyagin, S.; Temlyakov, V.
3
2023
Coconvex approximation of periodic functions. Zbl 1528.41044
Leviatan, D.; Shevchuk, I. A.
3
2023
An embedding of ReLU networks and an analysis of their identifiability. Zbl 07680079
Stock, Pierre; Gribonval, Rémi
2
2023
A Newman type bound for \(L_p[-1,1]\)-means of the logarithmic derivative of polynomials having all zeros on the unit Circle. Zbl 1534.41008
Komarov, Mikhail A.
2
2023
The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\). Zbl 07781588
Liu, Jing-Cheng; Wang, Zhi-Yong
2
2023
Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems. Zbl 1525.33007
Gharakhloo, Roozbeh; Witte, Nicholas S.
2
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Characterization of the variation spaces corresponding to shallow neural networks. Zbl 07698579
Siegel, Jonathan W.; Xu, Jinchao
2
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Cyclic polynomials in Dirichlet-type spaces in the unit ball of \(\mathbb{C}^2\). Zbl 07751274
Kosiński, Łukasz; Vavitsas, Dimitrios
2
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Variable anisotropic singular integral operators. Zbl 1534.42018
Bownik, Marcin; Li, Baode; Li, Jinxia
2
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Approximation theory of tree tensor networks: tensorized univariate functions. Zbl 1531.41030
Ali, Mazen; Nouy, Anthony
2
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Wall polynomials on the real line: a classical approach to OPRL Khrushchev’s formula. Zbl 1518.42037
Cantero, M. J.; Moral, L.; Velázquez, L.
1
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Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents. Zbl 1518.46025
Izuki, Mitsuo; Nogayama, Toru; Noi, Takahiro; Sawano, Yoshihiro
1
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Sobolev-type embeddings for neural network approximation spaces. Zbl 1529.41029
Grohs, Philipp; Voigtlaender, Felix
1
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Approximation with one-bit polynomials in Bernstein form. Zbl 1535.41007
Güntürk, C. Sinan; Li, Weilin
1
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On the sparsity of Lasso minimizers in sparse data recovery. Zbl 1512.94020
Foucart, Simon; Tadmor, Eitan; Zhong, Ming
1
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Approximation and localized polynomial frame on double hyperbolic and conic domains. Zbl 1528.41018
Xu, Yuan
1
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Universal sampling discretization. Zbl 1530.65054
Dai, F.; Temlyakov, V.
1
2023
On the algebraic difference independence of the Euler gamma function \(\Gamma\) and Dirichlet series. Zbl 1523.30046
Li, Xiao-Min; Tahir, Hassan; Gao, Xue-Yuan
1
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Approximation of wave packets on the real line. Zbl 1530.41025
Iserles, Arieh; Luong, Karen; Webb, Marcus
1
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Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. Zbl 07698576
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian
1
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Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels. Zbl 1520.41001
Bejancu, Aurelian
1
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Cyclic Pólya ensembles on the unitary matrices and their spectral statistics. Zbl 1516.60002
Kieburg, Mario; Li, Shi-Hao; Zhang, Jiyuan; Forrester, Peter J.
1
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Properties of vector-valued \(\tau \)-discrete fractional calculus and its connection with Caputo fractional derivatives. Zbl 07698580
Chang, Yong-Kui; Ponce, Rodrigo
1
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Universal regular conditional distributions via probabilistic transformers. Zbl 1529.68277
Kratsios, Anastasis
1
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Multivariate generalized Hermite subdivision schemes. Zbl 1528.41003
Han, Bin
1
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A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
49
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Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
39
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DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 1500.35009
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
35
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The Barron space and the flow-induced function spaces for neural network models. Zbl 1490.65020
E, Weinan; Ma, Chao; Wu, Lei
27
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Approximation spaces of deep neural networks. Zbl 1491.82017
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix
27
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Exponential ReLU DNN expression of holomorphic maps in high dimension. Zbl 1500.41008
Opschoor, J. A. A.; Schwab, Ch.; Zech, J.
25
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A vector equilibrium problem for symmetrically located point charges on a sphere. Zbl 1494.31017
Criado del Rey, Juan G.; Kuijlaars, Arno B. J.
6
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Optimal sampling and Christoffel functions on general domains. Zbl 1517.41001
Dolbeault, Matthieu; Cohen, Albert
6
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Universal approximations of invariant maps by neural networks. Zbl 1505.41019
Yarotsky, Dmitry
6
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Sparse approximation of triangular transports. II: The infinite-dimensional case. Zbl 07538357
Zech, Jakob; Marzouk, Youssef
5
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Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042
Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael
5
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Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method. Zbl 1514.34149
Buckingham, Robert J.; Miller, Peter D.
5
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On the value-distribution of Hurwitz zeta-functions with algebraic parameter. Zbl 1497.11226
Sourmelidis, Athanasios; Steuding, Jörn
3
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Neural network identifiability for a family of sigmoidal nonlinearities. Zbl 1482.68217
Vlačić, Verner; Bölcskei, Helmut
3
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Sparse approximation of triangular transports. I: The finite-dimensional case. Zbl 1507.49040
Zech, Jakob; Marzouk, Youssef
2
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Failure of approximation of odd functions by odd polynomials. Zbl 1517.41002
Mashreghi, Javad; Parisé, Pierre-Olivier; Ransford, Thomas
2
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Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. Zbl 1486.39024
Sakhnovich, Alexander
2
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Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure. Zbl 1510.42035
González Ricardo, L. G.; López Lagomasino, G.
2
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On the connection problem for the second Painlevé equation with large initial data. Zbl 1515.33019
Long, Wen-Gao; Zeng, Zhao-Yun
1
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Phase retrieval by binary questions: which complementary subspace is closer? Zbl 1495.94013
Domel-White, Dylan; Bodmann, Bernhard G.
1
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On discretizing uniform norms of exponential sums. Zbl 1517.41005
Kroó, András
1
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Graph recovery from incomplete moment information. Zbl 1495.42012
Henrion, Didier; Lasserre, Jean Bernard
1
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Markov’s theorem for weight functions on the unit circle. Zbl 1486.30012
Castillo, Kenier
1
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Fourier multipliers on a vector-valued function space. Zbl 1485.42020
Park, Bae Jun
1
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Construction of nonlinear approximation schemes for piecewise smooth data. Zbl 1502.65091
Yang, Hyoseon; Yoon, Jungho
1
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Iterated function systems enriched with symmetry. Zbl 1505.28009
Leśniak, Krzysztof; Snigireva, Nina
1
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Quantization for spectral super-resolution. Zbl 1504.94041
Güntürk, C. Sinan; Li, Weilin
1
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Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball. Zbl 1528.41026
Ganzburg, Michael I.
1
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Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
59
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Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni
22
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Sampling discretization of integral norms. Zbl 1480.65060
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
10
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Boundary behavior of optimal polynomial approximants. Zbl 1475.30011
Bénéteau, Catherine; Manolaki, Myrto; Seco, Daniel
7
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Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I. Zbl 1479.42069
Świderski, Grzegorz; Trojan, Bartosz
7
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Semi-algebraic approximation using Christoffel-Darboux kernel. Zbl 1497.41016
Marx, Swann; Pauwels, Edouard; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
7
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Strong partially greedy bases and Lebesgue-type inequalities. Zbl 1491.41011
Berasategui, M.; Berná, P. M.; Lassalle, S.
7
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Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces. Zbl 1460.42034
Bui, The Anh; Duong, Xuan Thinh
6
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A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function. Zbl 1462.30051
Berg, Christian; Massa, Eugenio; Peron, Ana P.
6
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Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
6
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Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem. Zbl 1461.33005
Yakubovich, S.
5
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Wiener algebras and trigonometric series in a coordinated fashion. Zbl 1477.42003
Liflyand, E.; Trigub, R.
5
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Turán-type reverse Markov inequalities for polynomials with restricted zeros. Zbl 1479.41011
Erdélyi, Tamás
4
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Discrepancy of minimal Riesz energy points. Zbl 1496.11102
Marzo, Jordi; Mas, Albert
4
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Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness. Zbl 1466.41014
Mayer, Sebastian; Ullrich, Tino
4
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Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane. Zbl 1469.30007
Akemann, Gernot; Nagao, Taro; Parra, Iván; Vernizzi, Graziano
4
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Planar sampling sets for the short-time Fourier transform. Zbl 1466.42007
Jaming, Philippe; Speckbacher, Michael
4
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Logarithmic equilibrium on the sphere in the presence of multiple point charges. Zbl 1477.31022
Legg, A. R.; Dragnev, P. D.
4
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Product Besov and Triebel-Lizorkin spaces with application to nonlinear approximation. Zbl 1460.42026
Georgiadis, Athanasios G.; Kyriazis, George; Petrushev, Pencho
3
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Rational minimax iterations for computing the matrix \(p\)th root. Zbl 1510.65079
Gawlik, Evan S.
2
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Zero distribution of orthogonal polynomials on a \(q\)-lattice. Zbl 1477.31008
Van Assche, Walter; Van Baelen, Quinten
2
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Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1473.46040
Caetano, António; Kempka, Henning
2
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Unregularized online algorithms with varying Gaussians. Zbl 1464.68321
Wang, Baobin; Hu, Ting
2
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Besov spaces induced by doubling weights. Zbl 1473.30031
Reijonen, Atte
2
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Optimal polynomial prediction measures and extremal polynomial growth. Zbl 1518.30008
Bos, L.; Levenberg, N.; Ortega-Cerdà, J.
1
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Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel. Zbl 1486.47059
Breuer, Jonathan
1
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Kesten-McKay law for random subensembles of Paley equiangular tight frames. Zbl 1465.42036
Magsino, Mark; Mixon, Dustin G.; Parshall, Hans
1
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Chebyshev multivariate polynomial approximation and point reduction procedure. Zbl 1470.90097
Sukhorukova, Nadezda; Ugon, Julien; Yost, David
1
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Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials. Zbl 1494.33005
Kahler, Stefan
1
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A discrete realization of the higher rank Racah algebra. Zbl 1444.81019
De Bie, Hendrik; van de Vijver, Wouter
12
2020
Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. Zbl 1430.42034
Gröchenig, Karlheinz; Romero, José Luis; Stöckler, Joachim
11
2020
Manifold approximation by moving least-squares projection (MMLS). Zbl 1455.65042
Sober, Barak; Levin, David
9
2020
Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
9
2020
Rational solutions of the Painlevé-III equation: large parameter asymptotics. Zbl 1435.34093
Bothner, Thomas; Miller, Peter D.
9
2020
On accumulated Cohen’s class distributions and mixed-state localization operators. Zbl 1444.81024
Luef, Franz; Skrettingland, Eirik
9
2020
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
7
2020
The generalized operator based Prony method. Zbl 1455.65058
Stampfer, Kilian; Plonka, Gerlind
7
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Approximation to uniform distribution in \(\mathrm{SO}(3)\). Zbl 1469.60152
Beltrán, Carlos; Ferizović, Damir
7
2020
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Cited by 9,684 Authors

94 Lubinsky, Doron S.
70 Saff, Edward Barry
67 Chand, Arya Kumar Bedabrata
64 Temlyakov, Vladimir Nikolaevich
60 Zhou, Dingxuan
57 Marcellán Español, Francisco
52 López Lagomasino, Guillermo Tomás
51 Navascués, María Antonia
51 Van Assche, Walter
50 Mazure, Marie-Laurence
49 Dyn, Nira
47 Xu, Yuan
43 Amat Plata, Sergio
43 Leviatan, Dany
42 Dai, Feng
42 Durán, Antonio José
41 Kuijlaars, Arno B. J.
39 Jørgensen, Palle E. T.
39 Romani, Lucia
38 Totik, Vilmos
37 Praetorius, Dirk
37 Schwab, Christoph
37 Ullrich, Tino
37 Viswanathan, Puthan Veedu
36 Chui, Charles Kam-tai
35 Andrievskii, Vladimir V.
35 Han, Bin
35 Mastroianni, Giuseppe
35 Speleers, Hendrik
35 Sun, Qiyu
34 Kutyniok, Gitta
34 Li, Song
34 Shen, Zuowei
33 Cohen, Albert
33 Guo, Victor J. W.
33 Manni, Carla
33 Martínez-Finkelshtein, Andrei
33 Ward, Joseph Dinneen
32 Ismail, Mourad El-Houssieny
31 Conti, Costanza
31 Dahmen, Wolfgang A.
31 Kroó, András
31 Menegatto, Valdir Antonio
31 Tikhonov, Sergey Yur’evich
31 Wang, Heping
30 Khoromskiĭ, Boris Nikolaevich
30 Lin, Shaobo
30 Mhaskar, Hrushikesh N.
30 Trillo, Juan Carlos
30 Yang, Dachun
29 Aptekarev, Alexander Ivanovich
29 DeVore, Ronald A.
29 Jia, Rong-Qing
29 Mustafa, Ghulam
29 Ron, Amos
29 Yoon, Jungho
28 Bultheel, Adhemar François
28 Chen, Dirong
28 Gröchenig, Karlheinz
28 Porcu, Emilio
28 Simon, Barry
27 Qian, Tao
27 Sauer, Tomas
27 Sickel, Winfried
27 Vinet, Luc
26 Chu, Yuming
26 González-Vera, Pablo
26 Grohs, Philipp
26 Li, Yunzhang
26 Orive Rodríguez, Ramón Angel
25 Ansorena, José Luis
25 Dragnev, Peter D.
25 Lai, Mingjun
24 Erdélyi, Tamás
24 Massopust, Peter R.
24 Schaback, Robert
23 Carnicer, Jésus Miguel
23 Chen, Yang
23 Ganzburg, Michael Iosifovich
23 Goldman, Ronald N.
23 Griebel, Michael
23 Petrushev, Pencho P.
23 Wu, Zongmin
22 Abdullayev, Fahreddin G.
22 Albiac, Fernando
22 Baratchart, Laurent
22 Bertola, Marco
22 Blatt, Hans-Peter
22 Bownik, Marcin
22 Buhmann, Martin Dietrich
22 Dahlke, Stephan
22 Ditzian, Zeev
22 Hardin, Douglas P.
22 Jiang, Qingtang
22 Kopotun, Kirill A.
22 Shevchuk, Igor Oleksandrovych
22 Sun, Wenchang
22 Yang, Shouzhi
21 Berná, Pablo Manuel
21 Branquinho, Amílcar José Pinto Lopes
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Cited in 741 Journals

902 Journal of Approximation Theory
510 Journal of Computational and Applied Mathematics
446 Constructive Approximation
422 Journal of Mathematical Analysis and Applications
338 Applied and Computational Harmonic Analysis
200 Advances in Computational Mathematics
183 Applied Mathematics and Computation
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153 Journal of Complexity
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145 Numerical Algorithms
137 Mathematics of Computation
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116 Numerische Mathematik
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113 Journal of Computational Physics
106 International Journal of Wavelets, Multiresolution and Information Processing
103 Computer Methods in Applied Mechanics and Engineering
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95 Advances in Mathematics
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92 Transactions of the American Mathematical Society
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78 Engineering Analysis with Boundary Elements
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75 Applied Numerical Mathematics
70 Numerical Functional Analysis and Optimization
69 Foundations of Computational Mathematics
64 Journal of Scientific Computing
64 Integral Transforms and Special Functions
61 Communications in Mathematical Physics
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59 Journal of Mathematical Physics
57 Mathematische Nachrichten
57 Acta Mathematica Hungarica
56 Acta Mathematica Sinica. English Series
56 Proceedings of the Steklov Institute of Mathematics
54 SIAM Journal on Numerical Analysis
53 Journal of Inequalities and Applications
52 Journal d’Analyse Mathématique
52 Mathematical Methods in the Applied Sciences
51 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
50 Rocky Mountain Journal of Mathematics
50 The Ramanujan Journal
49 Mediterranean Journal of Mathematics
47 BIT
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46 Journal of Mathematical Sciences (New York)
45 Ukrainian Mathematical Journal
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45 Science China. Mathematics
44 Analysis and Mathematical Physics
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42 Journal of Machine Learning Research (JMLR)
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37 The Annals of Statistics
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34 Applicable Analysis
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33 Comptes Rendus. Mathématique. Académie des Sciences, Paris
33 SIAM/ASA Journal on Uncertainty Quantification
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29 Inverse Problems
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28 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
27 Journal of Difference Equations and Applications
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 Neural Computation
26 SIAM Journal on Mathematical Analysis
26 Sbornik: Mathematics
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25 Monatshefte für Mathematik
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23 Mathematical Problems in Engineering
22 Israel Journal of Mathematics
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