## 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: Indexed cover-to-cover
 Documents Indexed: 1,248 Publications (since 1985) References Indexed: 898 Publications with 19,878 References.
all top 5

### Latest Issues

 56, No. 1 (2022) 55, No. 3 (2022) 55, No. 2 (2022) 55, No. 1 (2022) 54, No. 3 (2021) 54, No. 2 (2021) 54, No. 1 (2021) 53, No. 3 (2021) 53, No. 2 (2021) 53, No. 1 (2021) 52, No. 3 (2020) 52, No. 2 (2020) 52, No. 1 (2020) 51, No. 3 (2020) 51, No. 2 (2020) 51, No. 1 (2020) 50, No. 3 (2019) 50, No. 2 (2019) 50, No. 1 (2019) 49, No. 3 (2019) 49, No. 2 (2019) 49, No. 1 (2019) 48, No. 3 (2018) 48, No. 2 (2018) 48, No. 1 (2018) 47, No. 3 (2018) 47, No. 2 (2018) 47, No. 1 (2018) 46, No. 3 (2017) 46, No. 2 (2017) 46, No. 1 (2017) 45, No. 3 (2017) 45, No. 2 (2017) 45, No. 1 (2017) 44, No. 3 (2016) 44, No. 2 (2016) 44, No. 1 (2016) 43, No. 3 (2016) 43, No. 2 (2016) 43, No. 1 (2016) 42, No. 3 (2015) 42, No. 2 (2015) 42, No. 1 (2015) 41, No. 3 (2015) 41, No. 2 (2015) 41, No. 1 (2015) 40, No. 3 (2014) 40, No. 2 (2014) 40, No. 1 (2014) 39, No. 3 (2014) 39, No. 2 (2014) 39, No. 1 (2014) 38, No. 3 (2013) 38, No. 2 (2013) 38, No. 1 (2013) 37, No. 3 (2013) 37, No. 2 (2013) 37, No. 1 (2013) 36, No. 3 (2012) 36, No. 2 (2012) 36, No. 1 (2012) 35, No. 3 (2012) 35, No. 2 (2012) 35, No. 1 (2012) 34, No. 3 (2011) 34, No. 2 (2011) 34, No. 1 (2011) 33, No. 3 (2011) 33, No. 2 (2011) 33, No. 1 (2011) 32, No. 3 (2010) 32, No. 2 (2010) 32, No. 1 (2010) 31, No. 3 (2010) 31, No. 2 (2010) 31, No. 1 (2010) 30, No. 3 (2009) 30, No. 2 (2009) 30, No. 1 (2009) 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) 26, No. 2 (2007) 26, No. 1 (2007) 25, No. 3 (2007) 25, No. 2 (2007) 25, No. 1 (2007) 24, No. 3 (2006) 24, No. 2 (2006) 24, No. 1 (2006) 23, No. 3 (2006) 23, No. 2 (2006) 23, No. 1 (2006) ...and 74 more Volumes
all top 5

### Authors

 28 Lubinsky, Doron S. 20 DeVore, Ronald A. 19 Saff, Edward Barry 18 Temlyakov, Vladimir Nikolaevich 18 Totik, Vilmos 16 Andrievskii, Vladimir V. 13 López Lagomasino, Guillermo Tomás 12 Borwein, Peter Benjamin 12 Erdélyi, Tamás 12 Xu, Yuan 11 Dahmen, Wolfgang A. 11 Dai, Feng 11 Kroó, András 11 Petrushev, Pencho P. 11 Van Assche, Walter 10 Leviatan, Dany 10 Ron, Amos 10 Stahl, Herbert Robert 9 Ditzian, Zeev 9 Dyn, Nira 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 Geronimo, Jeffrey S. 8 Hardin, Douglas P. 8 Levenberg, Norman jun. 8 Ruscheweyh, Stephan 7 Bloom, Thomas 7 Cohen, Albert 7 Daubechies, Ingrid Chantal 7 de Boor, Carl 7 Durán, Antonio José 7 Goodman, Timothy N. T. 7 Kerkyacharian, Gérard 7 Koelink, Erik 7 Mazure, Marie-Laurence 7 Peherstorfer, Franz 7 Wielonsky, Franck 6 Baratchart, Laurent 6 Beckermann, Bernhard 6 Blatt, Hans-Peter 6 Bos, Len P. 6 Dubuc, Serge 6 Gröchenig, Karlheinz 6 Ivanov, Kamen G. 6 Jia, Rong-Qing 6 Johnson, Michael James 6 Levin, A. L. 6 Nürnberger, Günther 6 Picard, Dominique B. 6 Stylianopoulos, Nikos S. 6 Szwarc, Ryszard 6 Ullrich, Tino 6 Varga, Richard Steven 6 Wojtaszczyk, Przemyslaw 5 Bertola, Marco 5 Christiansen, Jacob Stordal 5 Chui, Charles Kam-tai 5 Griebel, Michael 5 Kopotun, Kirill A. 5 Kutyniok, Gitta 5 Li, Zhongkai 5 López, José Luis 5 Lyche, Tom 5 Maiorov, Vitaly Evgen’evich 5 Martínez-Finkelshtein, Andrei 5 Máté, Attila 5 Mhaskar, Hrushikesh N. 5 Petrova, Guergana 5 Pinkus, Allan M. 5 Scherer, Karl 5 Shevchuk, Igor A. 5 Simon, Barry 5 Tikhonov, Sergey Yur’evich 5 Waldron, Shayne F. D. 5 Woźniakowski, Henryk 4 Berg, Christian 4 Boyanov, Borislav Dechev 4 Braess, Dietrich 4 Davydov, Oleg V. 4 de la Calle Ysern, Bernardo 4 Dragnev, Peter D. 4 Forrester, Peter J. 4 Gaier, Dieter 4 Ganzburg, Michael Iosifovich 4 Gardiner, Stephen J. 4 Littmann, Friedrich 4 Marcellán Español, Francisco 4 Marzo, Jordi 4 McLaughlin, Kenneth D. T.-R. 4 Müller, Jürgen 4 Novak, Erich 4 Nuttall, John 4 Oswald, Peter 4 Pritsker, Igor E. 4 Riemenschneider, Sherman D. ...and 1,190 more Authors
all top 5

### Fields

 712 Approximations and expansions (41-XX) 351 Harmonic analysis on Euclidean spaces (42-XX) 250 Functions of a complex variable (30-XX) 220 Numerical analysis (65-XX) 168 Special functions (33-XX) 117 Functional analysis (46-XX) 82 Operator theory (47-XX) 64 Real functions (26-XX) 58 Potential theory (31-XX) 55 Probability theory and stochastic processes (60-XX) 51 Ordinary differential equations (34-XX) 44 Computer science (68-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 38 Information and communication theory, circuits (94-XX) 36 Number theory (11-XX) 31 Measure and integration (28-XX) 30 Partial differential equations (35-XX) 29 Statistics (62-XX) 26 Difference and functional equations (39-XX) 26 Integral transforms, operational calculus (44-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Abstract harmonic analysis (43-XX) 17 Combinatorics (05-XX) 16 Sequences, series, summability (40-XX) 14 Quantum theory (81-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Operations research, mathematical programming (90-XX) 10 Algebraic geometry (14-XX) 9 Systems theory; control (93-XX) 8 Topological groups, Lie groups (22-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 General topology (54-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 2 History and biography (01-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 Biology and other natural sciences (92-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

1,114 Publications have been cited 13,052 times in 9,489 Documents Cited by Year
Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005
Micchelli, Charles A.
1986
Symmetric iterative interpolation processes. Zbl 0659.65004
Deslauriers, Gilles; Dubuc, Serge
1989
Fractal functions and interpolation. Zbl 0606.41005
Barnsley, Michael F.
1986
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
2008
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
2007
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
1993
Davis, G.; Mallat, S.; Avellaneda, M.
1997
Recurrent iterated function systems. Zbl 0659.60045
Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P.
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.
1985
$$O(d \log N)$$-quantics approximation of $$N$$-$$d$$ tensors in high-dimensional numerical modeling. Zbl 1228.65069
Khoromskij, Boris N.
2011
Multivariate cardinal interpolation with radial-basis functions. Zbl 0719.41007
Buhmann, M. D.
1990
Weighted polynomial inequalities with doubling and $$A_\infty$$ weights. Zbl 0956.42001
Mastroianni, Giuseppe; Totik, Vilmos
2000
Multivariate interpolation by polynomials and radial basis functions. Zbl 1076.41003
Schaback, Robert
2005
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
1992
Summation and transformation formulas for elliptic hypergeometric series. Zbl 1040.33013
Warnaar, S. O.
2002
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
2004
On early stopping in gradient descent learning. Zbl 1125.62035
Yao, Yuan; Rosasco, Lorenzo; Caponnetto, Andrea
2007
Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights. Zbl 0762.41011
Levin, A. L.; Lubinsky, D. S.
1992
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
1990
Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011
Dyn, Nira; Gregory, John A.; Levin, David
1991
The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.
2003
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
2001
Simple cubature formulas with high polynomial exactness. Zbl 0942.41018
Novak, Erich; Ritter, Klaus
1999
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
2006
The dimension of bivariate spline spaces of smoothness r for degree $$d\geq 4r+1$$. Zbl 0646.41008
Alfeld, Peter; Schumaker, L. L.
1987
Orthogonal polynomials with complex-valued weight function. I. Zbl 0592.42016
Stahl, Herbert
1986
Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004
Carnicer, J. M.; Mainar, E.; Peña, J. M.
2004
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; Shen, Zuowei
2009
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
1997
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
2013
A recurrence relation for Chebyshevian B-splines. Zbl 0583.41011
Lyche, Tom
1985
Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A.
2000
Blossoming: A geometrical approach. Zbl 0924.65010
Mazure, M.-L.
1999
Intrinsic localization of frames. Zbl 1130.41304
Fornasier, Massimo; Gröchenig, Karlheinz
2005
Approximation order provided by refinable function vectors. Zbl 0870.41015
Plonka, G.
1997
Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017
López, G.; Marcellán, F.; Van Assche, Walter
1995
Generalized shift-invariant systems. Zbl 1080.42025
Ron, Amos; Shen, Zuowei
2005
Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
Máté, Attila; Nevai, Paul; Totik, Vilmos
1985
On classical orthogonal polynomials. Zbl 0837.33010
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K.
1995
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
2013
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
2012
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
1988
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2008
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. Zbl 1117.15025
Vanlessen, M.
2007
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
1998
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011
Ron, Amos
1989
Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017
Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing
2004
Moduli of smoothness and $$K$$-functionals in $$L_ p$$, $$0<p<1$$. Zbl 0822.46031
Ditzian, Z.; Hristov, V. H.; Ivanov, K. G.
1995
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
Speleers, Hendrik
2013
Greedy algorithm and $$m$$-term trigonometric approximation. Zbl 0931.42002
Temlyakov, V. N.
1998
Convexity preserving interpolatory subdivision schemes. Zbl 0918.41002
Kuijt, F.; van Damme, R.
1998
Chebyshev spaces and Bernstein bases. Zbl 1116.41006
Mazure, Marie-Laurence
2005
Tight frames and their symmetries. Zbl 1059.42026
Vale, Richard; Waldron, Shayne
2005
Approximation by $$p$$-Faber polynomials in the weighted Smirnov class $$E^p(G,\omega)$$ and the Bieberbach polynomials. Zbl 0987.41016
Israfilov, D. M.
2001
A boundedness criterion via atoms for linear operators in Hardy spaces. Zbl 1283.42029
Yang, Dachun; Zhou, Yuan
2009
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.
2000
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
1987
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
2017
Wavelets and self-affine tilings. Zbl 0813.42021
Strichartz, Robert S.
1993
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
2009
Constrained $$L_ p$$ approximation. Zbl 0582.41002
Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D.
1985
Vector-valued, rational interpolants. III. Zbl 0614.41016
Graves-Morris, P. R.; Jenkins, C. D.
1986
Optimized tensor-product approximation spaces. Zbl 0969.65107
Griebel, M.; Knapek, S.
2000
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
1992
Nikishin systems are perfect. Zbl 1258.30015
Fidalgo Prieto, U.; López Lagomasino, G.
2011
Symmetric framelets. Zbl 1037.42038
Petukhov, Alexander
2003
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E.
1997
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
2000
Approximation of mixed order Sobolev functions on the $$d$$-torus: asymptotics, preasymptotics, and $$d$$-dependence. Zbl 1485.47025
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2015
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
1993
Approximation by radial basis functions with finitely many centers. Zbl 0855.41011
Schaback, R.
1996
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.
2009
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
Jetter, Kurt; Zhou, Ding-Xuan
1995
Exponential box splines. Zbl 0674.41005
Ron, Amos
1988
Analysis of the intrinsic mode functions. Zbl 1100.94006
Sharpley, Robert C.; Vatchev, Vesselin
2006
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
2008
An $$n$$-dimensional Clough-Tocher interpolant. Zbl 0631.41003
Worsey, A. J.; Farin, G.
1987
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Constructive representation of functions in low-rank tensor formats. Zbl 1282.15021
Oseledets, I. V.
2013
Regularity of multivariate refinable functions. Zbl 0937.42017
Cohen, A.; Gröchenig, K.; Villemoes, L. F.
1999
Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. Zbl 1210.41010
Gröchenig, Karlheinz; Klotz, Andreas
2010
Constrained interpolation and smoothing. Zbl 0596.41012
Irvine, Larry D.; Marin, Samuel P.; Smith, Philip W.
1986
Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. Zbl 1252.46018
Steinwart, Ingo; Scovel, Clint
2012
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2004
A special class of polynomials orthogonal on the unit circle including the associated polynomials. Zbl 0854.42021
Peherstorfer, F.
1996
On existence and weak stability of matrix refinable functions. Zbl 0932.42028
Jiang, Qingtang; Shen, Zuowei
1999
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
Buhmann, M. D.; Dyn, N.; Levin, D.
1995
Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014
Novak, Erich; Triebel, Hans
2006
Exponential asymptotics of the Mittag-Leffler function. Zbl 1025.33009
Wong, R.; Zhao, Yu-Qiu
2002
Self-affine sets and graph-directed systems. Zbl 1027.37012
He, Xing-Gang; Lau, Ka-Sing; Rao, Hui
2003
Polynomial inequalities on measurable sets and their applications. Zbl 0991.41008
Ganzburg, M. I.
2001
Normal multiresolution approximation of curves. Zbl 1051.42025
Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim
2004
On the exact constant in the Jackson-Stechkin inequality for the uniform metric. Zbl 1181.41017
Foucart, S.; Kryakin, Y.; Shadrin, A.
2009
Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326
Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
2006
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015
Dyn, N.; Narcowich, F. J.; Ward, J. D.
1999
Lagrange interpolation in weighted Besov spaces. Zbl 0926.41001
Mastroianni, G.; Russo, M. G.
1999
Tensor-structured preconditioners and approximate inverse of elliptic operators in $$\mathbb R^{d}$$. Zbl 1185.65051
Khoromskij, Boris N.
2009
An adaptive compression algorithm in Besov spaces. Zbl 1004.41006
Birgé, L.; Massart, P.
2000
Wiener’s lemma for infinite matrices. II. Zbl 1253.46057
Sun, Qiyu
2011
Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034
Geronimo, Jeffrey S.; Iliev, Plamen
2010
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
2022
Nonlinear approximation and (Deep) ReLU networks. Zbl 07493718
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
2022
Exponential ReLU DNN expression of holomorphic maps in high dimension. Zbl 07493725
Opschoor, J. A. A.; Schwab, Ch.; Zech, J.
2022
DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 07493716
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
2022
Approximation spaces of deep neural networks. Zbl 1491.82017
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix
2022
The Barron space and the flow-induced function spaces for neural network models. Zbl 1490.65020
E, Weinan; Ma, Chao; Wu, Lei
2022
Neural network identifiability for a family of sigmoidal nonlinearities. Zbl 1482.68217
Vlačić, Verner; Bölcskei, Helmut
2022
Universal approximations of invariant maps by neural networks. Zbl 07493723
Yarotsky, Dmitry
2022
Fourier multipliers on a vector-valued function space. Zbl 1485.42020
Park, Bae Jun
2022
Sparse approximation of triangular transports. II: The infinite-dimensional case. Zbl 07538357
Zech, Jakob; Marzouk, Youssef
2022
Some $$q$$-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
2021
Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni
2021
Boundary behavior of optimal polynomial approximants. Zbl 1475.30011
Bénéteau, Catherine; Manolaki, Myrto; Seco, Daniel
2021
Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
2021
Semi-algebraic approximation using Christoffel-Darboux kernel. Zbl 07458658
Marx, Swann; Pauwels, Edouard; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2021
Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem. Zbl 1461.33005
Yakubovich, S.
2021
Product Besov and Triebel-Lizorkin spaces with application to nonlinear approximation. Zbl 1460.42026
Georgiadis, Athanasios G.; Kyriazis, George; Petrushev, Pencho
2021
Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces. Zbl 1460.42034
Bui, The Anh; Duong, Xuan Thinh
2021
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.
2021
Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I. Zbl 1479.42069
Świderski, Grzegorz; Trojan, Bartosz
2021
Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness. Zbl 1466.41014
Mayer, Sebastian; Ullrich, Tino
2021
Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel. Zbl 1486.47059
Breuer, Jonathan
2021
Kesten-McKay law for random subensembles of Paley equiangular tight frames. Zbl 1465.42036
Magsino, Mark; Mixon, Dustin G.; Parshall, Hans
2021
Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane. Zbl 1469.30007
Akemann, Gernot; Nagao, Taro; Parra, Iván; Vernizzi, Graziano
2021
Sampling discretization of integral norms. Zbl 1480.65060
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
2021
Zero distribution of orthogonal polynomials on a $$q$$-lattice. Zbl 1477.31008
Van Assche, Walter; Van Baelen, Quinten
2021
Wiener algebras and trigonometric series in a coordinated fashion. Zbl 1477.42003
Liflyand, E.; Trigub, R.
2021
Logarithmic equilibrium on the sphere in the presence of multiple point charges. Zbl 1477.31022
Legg, A. R.; Dragnev, P. D.
2021
A discrete realization of the higher rank Racah algebra. Zbl 1444.81019
De Bie, Hendrik; van de Vijver, Wouter
2020
On accumulated Cohen’s class distributions and mixed-state localization operators. Zbl 1444.81024
Luef, Franz; Skrettingland, Eirik
2020
Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Intertwining operators associated with dihedral groups. Zbl 1455.33008
Xu, Yuan
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
2020
Szegő condition and scattering for one-dimensional Dirac operators. Zbl 07184300
Bessonov, R. V.
2020
Fejér polynomials and control of nonlinear discrete systems. Zbl 1436.93102
Dmitrishin, D.; Hagelstein, P.; Khamitova, A.; Korenovskyi, A.; Stokolos, A.
2020
The generalized operator based Prony method. Zbl 1455.65058
Stampfer, Kilian; Plonka, Gerlind
2020
Manifold approximation by moving least-squares projection (MMLS). Zbl 1455.65042
Sober, Barak; Levin, David
2020
Rational extension of the Newton diagram for the positivity of $${}_1F_2$$ hypergeometric functions and Askey-Szegö problem. Zbl 1440.33002
Cho, Yong-Kum; Chung, Seok-Young; Yun, Hera
2020
Rational solutions of the Painlevé-III equation: large parameter asymptotics. Zbl 1435.34093
Bothner, Thomas; Miller, Peter D.
2020
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
2020
Five point energy minimization: a synopsis. Zbl 1435.31010
Schwartz, Richard Evan
2020
Minimal soft lattice theta functions. Zbl 1445.74020
Bétermin, Laurent
2020
Approximation to uniform distribution in $$\mathrm{SO}(3)$$. Zbl 1469.60152
Beltrán, Carlos; Ferizović, Damir
2020
Quadrature points via heat kernel repulsion. Zbl 1447.41013
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan
2020
An extension of Laplace’s method. Zbl 1436.41019
Nemes, Gergő
2020
Jacobi-Angelesco multiple orthogonal polynomials on an $$r$$-star. Zbl 1436.33008
Leurs, Marjolein; Van Assche, Walter
2020
Bounds for $$L_p$$-discrepancies of point distributions in compact metric measure spaces. Zbl 1477.11131
Skriganov, M. M.
2020
Asymptotic greediness of the Haar system in the spaces $$L_p[0,1]$$, $$1<p<\infty$$. Zbl 1456.46016
Albiac, Fernando; Ansorena, José L.; Berná, Pablo M.
2020
Morrey sequence spaces: Pitt’s theorem and compact embeddings. Zbl 1454.46037
Haroske, Dorothee D.; Skrzypczak, Leszek
2020
Conditionally positive definite matrix valued kernels on Euclidean spaces. Zbl 1444.42010
Guella, J. C.; Menegatto, V. A.
2020
Zeros of Faber polynomials for Joukowski airfoils. Zbl 1451.30017
Levenberg, N.; Wielonsky, F.
2020
Sharp Remez inequality. Zbl 1456.41002
Tikhonov, S.; Yuditskii, P.
2020
Weighted norm inequalities for fractional Bergman operators. Zbl 07149344
Sehba, Benoît F.
2020
Positive $$L^p$$-bounded Dunkl-type generalized translation operator and its applications. Zbl 1416.42007
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
2019
Rescaling Ward identities in the random normal matrix model. Zbl 1451.60012
Ameur, Yacin; Kang, Nam-Gyu; Makarov, Nikolai
2019
Optimal spline spaces for $$L^2\ n$$-width problems with boundary conditions. Zbl 1416.41007
Floater, Michael S.; Sande, Espen
2019
Computing a quantity of interest from observational data. Zbl 1414.41019
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw
2019
Optimal Monte Carlo methods for $$L^2$$-approximation. Zbl 07036368
Krieg, David
2019
Level-dependent interpolatory Hermite subdivision schemes and wavelets. Zbl 07103916
Cotronei, Mariantonia; Moosmüller, Caroline; Sauer, Tomas; Sissouno, Nada
2019
Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N.
2019
On the Totik-Widom property for a quasidisk. Zbl 1435.30005
Andrievskii, V.; Nazarov, F.
2019
Appell hypergeometric expansions of the solutions of the general Heun equation. Zbl 1414.33025
Ishkhanyan, A. M.
2019
Hyperuniform point sets on the sphere: deterministic aspects. Zbl 1437.11111
Brauchart, Johann S.; Grabner, Peter J.; Kusner, Wöden
2019
Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces. Zbl 1428.26006
Conti, Costanza; Donatelli, Marco; Romani, Lucia; Novara, Paola
2019
Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum. Zbl 1416.15022
Shapiro, Boris; Štampach, František
2019
Pluripotential numerics. Zbl 1416.65077
Piazzon, Federico
2019
Solutions of complex differential equation having pre-given zeros in the unit disc. Zbl 1417.34209
Gröhn, Janne
2019
On generalized Stieltjes functions. Zbl 1414.26020
Koumandos, Stamatis; Pedersen, Henrik L.
2019
Conditional quasi-greedy bases in non-superreflexive Banach spaces. Zbl 1477.46011
Albiac, Fernando; Ansorena, José L.; Wojtaszczyk, Przemysław
2019
Generic behavior of classes of Taylor series outside the unit disk. Zbl 1441.30088
Costakis, George; Jung, Andreas; Müller, Jürgen
2019
Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements. Zbl 1431.41008
2019
On the Markov inequality in the $$L_2$$-norm with the Gegenbauer weight. Zbl 1443.41008
2019
Cesàro means of subsequences of partial sums of trigonometric Fourier series. Zbl 1431.42005
Gát, György
2019
Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics. Zbl 1429.41009
Ganzburg, Michael I.
2019
Elastic splines. II. Unicity of optimal s-curves and curvature continuity. Zbl 1416.41006
Borbély, Albert; Johnson, Michael J.
2019
Formal duality in finite cyclic groups. Zbl 1415.43004
Malikiosis, Romanos Diogenes
2019
On Mahler’s transcendence measure for $$e$$. Zbl 1435.11095
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna
2019
Ambient approximation on hypersurfaces. Zbl 1407.41006
Lehmann, N.; Maier, L.-B.; Odathuparambil, S.; Reif, U.
2019
Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle. Zbl 1458.33008
Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei
2019
Asymptotic evaluations for some sequences of positive linear operators. Zbl 1428.41029
Popa, Dumitru
2019
Behavior of the roots of the Taylor polynomials of Riemann’s $$\xi$$ function with growing degree. Zbl 1412.30122
Jenkins, Robert; McLaughlin, Ken D. T.-R.
2019
A polynomial blossom for the Askey-Wilson operator. Zbl 1428.33036
Simeonov, Plamen; Goldman, Ron
2019
Universal locally univalent functions and universal conformal metrics with constant curvature. Zbl 1435.30120
Pohl, Daniel; Roth, Oliver
2019
Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians. Zbl 1440.42128
Ehler, Martin; Gräf, Manuel
2019
On uniform convergence of diagonal multipoint Padé approximants for entire functions. Zbl 1407.41008
Lubinsky, D. S.
2019
Learning general sparse additive models from point queries in high dimensions. Zbl 1429.41031
Tyagi, Hemant; Vybiral, Jan
2019
Analysis of decimation on finite frames with sigma-delta quantization. Zbl 1428.42063
Lin, Kung-Ching
2019
Strict s-numbers of non-compact Sobolev embeddings into continuous functions. Zbl 07103913
Lang, Jan; Musil, Vít
2019
Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere. Zbl 1391.82002
Bétermin, Laurent; Sandier, Etienne
2018
The Marcinkiewicz-type discretization theorems. Zbl 1404.41012
Temlyakov, V. N.
2018
The Stolarsky principle and energy optimization on the sphere. Zbl 1426.11075
Bilyk, Dmitriy; Dai, Feng; Matzke, Ryan
2018
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
2018
Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces. Zbl 1404.41011
Berná, Pablo M.; Blasco, Oscar; Garrigós, Gustavo; Hernández, Eugenio; Oikhberg, Timur
2018
Equidistribution of jellium energy for Coulomb and Riesz interactions. Zbl 1391.82003
Petrache, Mircea; Rota Nodari, Simona
2018
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
2018
Polynomial ensembles and recurrence coefficients. Zbl 1409.60024
2018
Subdivision and spline spaces. Zbl 1391.41004
Schenck, Hal; Sorokina, Tatyana
2018
Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique
2018
The projective ensemble and distribution of points in odd-dimensional spheres. Zbl 1400.31008
Beltrán, Carlos; Etayo, Ujué
2018
On bulk singularities in the random normal matrix model. Zbl 1436.60017
Ameur, Yacin; Seo, Seong-Mi
2018
...and 1014 more Documents
all top 5

### Cited by 7,923 Authors

 90 Lubinsky, Doron S. 66 Saff, Edward Barry 55 Chand, Arya Kumar Bedabrata 55 Marcellán Español, Francisco 55 Temlyakov, Vladimir Nikolaevich 54 Zhou, Dingxuan 49 López Lagomasino, Guillermo Tomás 49 Mazure, Marie-Laurence 49 Van Assche, Walter 46 Navascués, María Antonia 45 Dyn, Nira 39 Durán, Antonio José 38 Leviatan, Dany 37 Dai, Feng 37 Totik, Vilmos 36 Kuijlaars, Arno B. J. 35 Andrievskii, Vladimir V. 35 Romani, Lucia 35 Sun, Qiyu 34 Chui, Charles Kam-tai 34 Han, Bin 34 Mastroianni, Giuseppe 33 Amat, Sergio P. 33 Ward, Joseph Dinneen 32 Praetorius, Dirk 32 Shen, Zuowei 32 Viswanathan, Puthan Veedu 32 Xu, Yuan 31 Ismail, Mourad El-Houssieny 31 Martínez-Finkelshtein, Andrei 31 Ullrich, Tino 31 Wu, Zongmin 30 Conti, Costanza 30 Li, Song 30 Menegatto, Valdir Antonio 30 Mhaskar, Hrushikesh N. 29 Jia, Rong-Qing 29 Jørgensen, Palle E. T. 29 Kutyniok, Gitta 29 Ron, Amos 28 Aptekarev, Alexander Ivanovich 28 Chen, Dirong 28 Mustafa, Ghulam 28 Tikhonov, Sergey Yur’evich 28 Wang, Heping 27 Bultheel, Adhemar François 27 Cohen, Albert 27 Dahmen, Wolfgang A. 27 Kroó, András 27 Manni, Carla 27 Schwab, Christoph 26 DeVore, Ronald A. 26 González-Vera, Pablo 25 Sickel, Winfried 25 Speleers, Hendrik 25 Yoon, Jungho 24 Khoromskiĭ, Boris Nikolaevich 24 Lai, Mingjun 24 Orive Rodríguez, Ramón Angel 24 Schaback, Robert 24 Simon, Barry 24 Trillo, Juan Carlos 23 Gröchenig, Karlheinz 23 Lin, Shaobo 23 Sauer, Tomas 22 Baratchart, Laurent 22 Carnicer, Jésus Miguel 22 Ditzian, Zeev 22 Grohs, Philipp 22 Jiang, Qingtang 22 Kopotun, Kirill A. 22 Sun, Wenchang 22 Yang, Dachun 21 Buhmann, Martin Dietrich 21 Dragnev, Peter D. 21 Erdélyi, Tamás 21 Goldman, Ronald N. 21 Hardin, Douglas P. 21 Njåstad, Olav 21 Peherstorfer, Franz 21 Petrushev, Pencho P. 21 Qian, Tao 21 Schumaker, Larry L. 21 Yang, Shouzhi 20 Blatt, Hans-Peter 20 Cao, Feilong 20 Chu, Yuming 20 Dahlke, Stephan 20 Li, Yunzhang 20 Narcowich, Francis J. 20 Nevai, Paul G. 20 Stahl, Herbert Robert 20 Sun, Hongwei 19 Abdullayev, Fahreddin G. 19 Bownik, Marcin 19 Griebel, Michael 19 Hackbusch, Wolfgang 19 Wong, Roderick Sue-Chuen 18 Dinh Dũng 18 Leblond, Juliette ...and 7,823 more Authors
all top 5

### Cited in 668 Journals

 857 Journal of Approximation Theory 477 Journal of Computational and Applied Mathematics 394 Constructive Approximation 379 Journal of Mathematical Analysis and Applications 310 Applied and Computational Harmonic Analysis 184 Advances in Computational Mathematics 169 The Journal of Fourier Analysis and Applications 161 Applied Mathematics and Computation 160 Computer Aided Geometric Design 134 Journal of Complexity 131 Proceedings of the American Mathematical Society 128 Numerical Algorithms 127 Computers & Mathematics with Applications 127 Mathematics of Computation 110 Numerische Mathematik 105 Linear Algebra and its Applications 100 International Journal of Wavelets, Multiresolution and Information Processing 90 Journal of Computational Physics 88 Computational Methods and Function Theory 86 Transactions of the American Mathematical Society 84 Journal of Functional Analysis 83 Advances in Mathematics 78 Computer Methods in Applied Mechanics and Engineering 71 Results in Mathematics 70 Engineering Analysis with Boundary Elements 67 Applied Numerical Mathematics 66 Fractals 64 Numerical Functional Analysis and Optimization 63 Foundations of Computational Mathematics 61 SIAM Journal on Scientific Computing 59 Integral Transforms and Special Functions 59 Analysis and Applications (Singapore) 55 Acta Mathematica Sinica. English Series 54 Mathematical Notes 54 Acta Mathematica Hungarica 52 Communications in Mathematical Physics 49 Journal d’Analyse Mathématique 49 Journal of Scientific Computing 48 Rocky Mountain Journal of Mathematics 47 Proceedings of the Steklov Institute of Mathematics 46 Journal of Inequalities and Applications 44 BIT 44 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 42 Journal of Mathematical Physics 42 The Ramanujan Journal 42 Science China. Mathematics 40 SIAM Journal on Numerical Analysis 38 Mathematische Nachrichten 38 Abstract and Applied Analysis 38 Mediterranean Journal of Mathematics 37 Applied Mathematics Letters 36 Ukrainian Mathematical Journal 36 Chaos, Solitons and Fractals 36 Journal of Mathematical Sciences (New York) 32 International Journal of Computer Mathematics 32 Complex Analysis and Operator Theory 31 Applicable Analysis 31 The Annals of Statistics 31 Calcolo 31 Acta Applicandae Mathematicae 29 Integral Equations and Operator Theory 29 Advances in Applied Mathematics 29 Applied Mathematics. Series B (English Edition) 29 Complex Variables and Elliptic Equations 28 Indagationes Mathematicae. New Series 28 Analysis and Mathematical Physics 27 Mathematics and Computers in Simulation 27 Electronic Journal of Statistics 26 Neural Computation 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Analysis Mathematica 24 Monatshefte für Mathematik 24 SIAM/ASA Journal on Uncertainty Quantification 23 The Journal of Geometric Analysis 23 Potential Analysis 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Journal of Difference Equations and Applications 22 Mathematical Problems in Engineering 22 Journal of Machine Learning Research (JMLR) 21 Journal of Statistical Physics 20 Sbornik: Mathematics 19 Israel Journal of Mathematics 19 Journal of Multivariate Analysis 19 Mathematische Zeitschrift 19 Physica D 19 SIAM Journal on Matrix Analysis and Applications 19 SIAM Journal on Mathematical Analysis 19 Bernoulli 18 Inverse Problems 18 Computing 18 Neural Networks 18 Mathematical Programming. Series A. Series B 18 Computational and Applied Mathematics 18 SIAM Journal on Imaging Sciences 17 Applied Mathematical Modelling 17 Analysis in Theory and Applications 16 Mathematical Methods in the Applied Sciences 16 Journal of Statistical Planning and Inference 15 Bulletin of the Australian Mathematical Society 15 Duke Mathematical Journal ...and 568 more Journals
all top 5

### Cited in 63 Fields

 3,087 Approximations and expansions (41-XX) 2,780 Numerical analysis (65-XX) 2,413 Harmonic analysis on Euclidean spaces (42-XX) 1,153 Special functions (33-XX) 911 Functions of a complex variable (30-XX) 783 Functional analysis (46-XX) 608 Operator theory (47-XX) 601 Information and communication theory, circuits (94-XX) 575 Partial differential equations (35-XX) 558 Computer science (68-XX) 519 Statistics (62-XX) 501 Probability theory and stochastic processes (60-XX) 478 Measure and integration (28-XX) 412 Linear and multilinear algebra; matrix theory (15-XX) 370 Real functions (26-XX) 253 Ordinary differential equations (34-XX) 246 Number theory (11-XX) 215 Operations research, mathematical programming (90-XX) 208 Potential theory (31-XX) 208 Dynamical systems and ergodic theory (37-XX) 183 Combinatorics (05-XX) 161 Difference and functional equations (39-XX) 146 Abstract harmonic analysis (43-XX) 133 Fluid mechanics (76-XX) 133 Quantum theory (81-XX) 132 Statistical mechanics, structure of matter (82-XX) 108 Integral transforms, operational calculus (44-XX) 108 Integral equations (45-XX) 107 Several complex variables and analytic spaces (32-XX) 103 Convex and discrete geometry (52-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 94 Systems theory; control (93-XX) 84 Mechanics of deformable solids (74-XX) 66 Biology and other natural sciences (92-XX) 62 Sequences, series, summability (40-XX) 58 Global analysis, analysis on manifolds (58-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Commutative algebra (13-XX) 42 Topological groups, Lie groups (22-XX) 40 Algebraic geometry (14-XX) 39 Differential geometry (53-XX) 34 Group theory and generalizations (20-XX) 34 General topology (54-XX) 34 Geophysics (86-XX) 30 Nonassociative rings and algebras (17-XX) 26 Geometry (51-XX) 22 Optics, electromagnetic theory (78-XX) 21 History and biography (01-XX) 17 Mechanics of particles and systems (70-XX) 16 Associative rings and algebras (16-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Field theory and polynomials (12-XX) 12 General and overarching topics; collections (00-XX) 12 Manifolds and cell complexes (57-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Relativity and gravitational theory (83-XX) 5 Mathematics education (97-XX) 3 Astronomy and astrophysics (85-XX) 2 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)