×

Journal of Approximation Theory

Short Title: J. Approx. Theory
Publisher: Elsevier (Academic Press), San Diego, CA
ISSN: 0021-9045
Online: https://www.sciencedirect.com/journal/journal-of-approximation-theory/issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 5,135 Publications (since 1968)
References Indexed: 4,592 Publications with 71,301 References.
all top 5

Authors

56 Dunham, Charles B.
46 Lubinsky, Doron S.
40 Shi, Yingguang
38 Shisha, Oved
37 Saff, Edward Barry
34 Leviatan, Dany
34 Nevai, Paul G.
33 Chui, Charles Kam-tai
33 Totik, Vilmos
32 Deutsch, Frank
32 Ditzian, Zeev
32 Kroó, András
32 Van Assche, Walter
30 Xu, Yuan
29 Durán, Antonio José
26 Newman, Donald J.
26 Taylor, Gerald D.
25 de Boor, Carl
25 Erdélyi, Tamás
25 Schumaker, Larry L.
24 Dyn, Nira
24 Henry, Myron Stanley
24 Marcellán Español, Francisco
24 Reddy, A. R.
23 Pinkus, Allan M.
23 Roulier, John A.
21 Braess, Dietrich
21 Kuijlaars, Arno B. J.
21 López Lagomasino, Guillermo Tomás
21 Swetits, John J.
21 Szabados, Jozsef
20 Zalik, Richard A.
19 Andrievskii, Vladimir V.
19 Goodman, Timothy N. T.
19 Zhou, Dingxuan
18 Blatt, Hans-Peter
18 Butzer, Paul Leo
18 Peherstorfer, Franz
18 Sommer, Manfred
18 Varma, Arun Kumar
17 Bos, Len P.
17 Geronimo, Jeffrey S.
17 Lewicki, Grzegorz
16 Martínez-Finkelshtein, Andrei
15 Chalmers, Bruce Longworthy
15 Ismail, Mourad El-Houssieny
15 Kopotun, Kirill A.
15 Loeb, Henry L.
15 Lorentz, Georg Gunther
15 Mhaskar, Hrushikesh N.
15 Nürnberger, Günther
15 Ubhaya, Vasant A.
15 Wang, Heping
15 Ward, Joseph Dinneen
14 Borwein, Peter Benjamin
14 Boyanov, Borislav Dechev
14 Li, Chong
14 Mastroianni, Giuseppe
14 Passow, Eli
14 Schmidt, Darrell
14 Sharma, Ambikeshwar
14 Shevchuk, Igor Oleksandrovych
13 Bartelt, Martin W.
13 Bello Hernández, Manuel
13 Cheney, Elliott Ward jun.
13 Ganzburg, Michael Iosifovich
13 Golinskii, Leonid Borisovich
13 Light, William A.
13 Micchelli, Charles A.
13 Quesada, José María
13 Shekhtman, Boris
13 Smarzewski, Ryszard
13 Strauss, Hans
13 Varga, Richard Steven
12 Kaufman, Edwin H. jun.
12 Li, Wu
12 Móricz, Ferenc
12 Smith, Philip W.
12 Vértesi, Péter
12 Watson, G. Alistair
12 Wolfe, Jerry M.
12 Zhou, Songping
11 Barrar, Richard B.
11 Beatson, Rick K.
11 Buhmann, Martin Dietrich
11 Bustamante González, Jorge
11 Cobos, Fernando
11 Dai, Feng
11 Davydov, Oleg V.
11 Goetgheluck, Pierre
11 Huotari, Robert
11 Jia, Rong-Qing
11 Kilgore, Theodore A.
11 Lee, Seng Luan
11 McLaughlin, Harry W.
11 Rahman, Qazi Ibadur
11 Schmeisser, Gerhard
11 Simon, Barry
11 Ziegler, Zvi
10 Amir, Dan
...and 3,336 more Authors
all top 5

Fields

3,453 Approximations and expansions (41-XX)
968 Harmonic analysis on Euclidean spaces (42-XX)
492 Functions of a complex variable (30-XX)
474 Special functions (33-XX)
462 Functional analysis (46-XX)
393 Numerical analysis (65-XX)
313 Operator theory (47-XX)
179 Real functions (26-XX)
88 Probability theory and stochastic processes (60-XX)
74 Ordinary differential equations (34-XX)
71 Potential theory (31-XX)
68 Number theory (11-XX)
67 Sequences, series, summability (40-XX)
60 Linear and multilinear algebra; matrix theory (15-XX)
58 Partial differential equations (35-XX)
54 History and biography (01-XX)
49 Difference and functional equations (39-XX)
48 Information and communication theory, circuits (94-XX)
47 Measure and integration (28-XX)
45 Computer science (68-XX)
44 Abstract harmonic analysis (43-XX)
44 Convex and discrete geometry (52-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
35 Several complex variables and analytic spaces (32-XX)
35 Integral transforms, operational calculus (44-XX)
34 Statistics (62-XX)
26 Operations research, mathematical programming (90-XX)
25 General topology (54-XX)
22 Combinatorics (05-XX)
19 Dynamical systems and ergodic theory (37-XX)
16 Integral equations (45-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Quantum theory (81-XX)
10 General and overarching topics; collections (00-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Systems theory; control (93-XX)
9 Field theory and polynomials (12-XX)
8 Topological groups, Lie groups (22-XX)
8 Geometry (51-XX)
8 Differential geometry (53-XX)
7 Commutative algebra (13-XX)
3 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Group theory and generalizations (20-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

4,263 Publications have been cited 38,953 times in 22,777 Documents Cited by Year
On calculating with B-splines. Zbl 0239.41006
de Boor, Carl
316
1972
A strong convergence theorem for relatively nonexpansive mappings in a Banach space. Zbl 1071.47063
Matsushita, Shin-ya; Takahashi, Wataru
261
2005
Géza Freud, orthogonal polynomials and Christoffel functions. A case study. Zbl 0606.42020
Nevai, Paul
196
1986
Approximating solutions of maximal monotone operators in Hilbert spaces. Zbl 0992.47022
Kamimura, Shoji; Takahashi, Wataru
174
2000
Spline approximation by quasiinterpolants. Zbl 0279.41008
de Boor, C.; Fix, G. J.
155
1973
Solution of a problem of Ulam. Zbl 0672.41027
Rassias, John M.
153
1989
Error estimates for interpolation by compactly supported radial basis functions of minimal degree. Zbl 0904.41013
Wendland, Holger
151
1998
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
134
2004
Best proximity pair theorems for multifunctions with open fibres. Zbl 0965.41020
Sadiq Basha, S.; Veeramani, P.
131
2000
The calculus of fractal interpolation functions. Zbl 0693.41008
Barnsley, Michael F.; Harrington, Andrew N.
128
1989
Local spline approximation methods. Zbl 0315.41011
Lyche, Tom; Schumaker, Larry L.
121
1975
Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016
Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R.
119
1994
\(q\)-Bernstein polynomials and their iterates. Zbl 1093.41013
Ostrovska, Sofiya
117
2003
Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture. Zbl 0357.41011
Li, Tien-Yien
113
1976
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
112
1991
Some new characterizations of the Chebyshev polynomials. Zbl 0291.33012
Micchelli, C. A.; Rivlin, T. J.
106
1974
Inequalities for a polynomial and its derivative. Zbl 0663.41019
Aziz, Abdul; Dawood, Q. M.
103
1988
Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. Zbl 0764.41003
Madych, W. R.; Nelson, S. A.
103
1992
Sur l’approximation de fonctions intégrables sur l’interval-0,1-ferme par des polynômes de Bernstein modifies. Zbl 0475.41025
Derriennic, Marie Madeleine
101
1981
On the Hyers-Ulam stability of \(\psi\)-additive mappings. Zbl 0770.41018
Isac, George; Rassias, Themistocles M.
99
1993
Vector cascade algorithms and refinable function vectors in Sobolev spaces. Zbl 1028.42019
Han, Bin
98
2003
On error bounds for spline interpolation. Zbl 0177.08902
Hall, C. A.
97
1968
Convergence of generalized Bernstein polynomials. Zbl 0999.41007
Il’inskii, Alexander; Ostrovska, Sofiya
93
2002
Greedy algorithm for general biorthogonal systems. Zbl 0974.65053
Wojtaszczyk, P.
92
2000
Sparse Legendre expansions via \(\ell_1\)-minimization. Zbl 1239.65018
Rauhut, Holger; Ward, Rachel
90
2012
Convergence of best approximations in a smooth Banach space. Zbl 0545.41042
Tsukada, Makoto
89
1984
New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
89
1998
Cardinal interpolation and spline functions. Zbl 0202.34803
Schoenberg, I. J.
81
1969
An identity for spline functions with applications to variation diminishing spline approximation. Zbl 0192.42103
Marsden, M. J.
79
1970
Asymptotics of diagonal Hermite-Padé polynomials. Zbl 0565.41015
Nuttall, J.
76
1984
Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Zbl 1050.46021
Bauschke, Heinz H.; Combettes, Patrick L.; Luke, D. Russell
76
2004
An extension of Bochner’s problem: exceptional invariant subspaces. Zbl 1214.34079
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
74
2010
Metric entropy of some classes of sets with differentiable boundaries. Zbl 0275.41011
Dudley, R. M.
74
1974
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035
Chen, Yang; Its, Alexander
72
2010
Fractal interpolation functions with variable parameters and their analytical properties. Zbl 1303.28014
Wang, Hong-Yong; Yu, Jia-Shan
71
2013
Optimal error bounds for cubic spline interpolation. Zbl 0316.41007
Hall, Charles A.
69
1976
Polynomial interpolation and hyperinterpolation over general regions. Zbl 0839.41006
Sloan, Ian H.
67
1995
On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces. Zbl 0307.46007
Figiel, T.; Johnson, W. B.; Tzafriri, L.
67
1975
Determination of all coherent pairs. Zbl 0880.42012
Meijer, H. G.
66
1997
Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space. Zbl 1137.47056
Plubtieng, Somyot; Ungchittrakool, Kasamsuk
64
2007
Orthogonal matrix polynomials: zeros and Blumenthal’s theorem. Zbl 0861.42016
Duran, Antonio J.; Lopez-Rodriguez, Pedro
64
1996
The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009
Kuijlaars, A. B. J.; Van Assche, W.
64
1999
Dykstra’s alternating projection algorithm for two sets. Zbl 0833.46011
Bauschke, H. H.; Borwein, J. M.
64
1994
Sharp integral inequalities of the Hermite-Hadamard type. Zbl 1012.26013
Guessab, Allal; Schmeisser, Gerhard
63
2002
Approximation by Ridge functions and neural networks with one hidden layer. Zbl 0768.41018
Chui, Charles K.; Li, Xin
62
1992
A stable recurrence relation for trigonometric B-splines. Zbl 0414.41005
Lyche, T.; Winther, R.
62
1979
The convergence of Padé approximants to functions with branch points. Zbl 0896.41009
Stahl, Herbert
61
1997
Generalized orthogonality and continued fractions. Zbl 0846.33005
Ismail, Mourad E. H.; Masson, David R.
59
1995
Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q
59
2011
Degree of approximation by monotone polynomials. I. Zbl 0172.07901
Lorentz, G. G.; Zeller, K. L.
59
1968
Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Zbl 1113.41001
Bos, Len; Caliari, Marco; De Marchi, Stefano; Vianello, Marco; Xu, Yuan
59
2006
Korovkin-type theorem and application. Zbl 1118.41015
Wang, Heping
59
2005
\(p\)-adic refinable functions and MRA-based wavelets. Zbl 1205.42031
Khrennikov, A. Yu.; Shelkovich, V. M.; Skopina, M.
58
2009
Equioscillation under nonuniqueness in the approximation of continuous functions. Zbl 0199.11701
Jones, R. C.; Karlovitz, L. A.
58
1970
Box dimension and fractional integral of linear fractal interpolation functions. Zbl 1181.41005
Ruan, Huo-Jun; Su, Wei-Yi; Yao, Kui
57
2009
Approximations via Whittaker’s cardinal function. Zbl 0332.41013
Stenger, Frank
57
1976
Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023
Geronimo, J. S.; Van Assche, Walter
57
1986
Almost convergence and nonlinear ergodic theorems. Zbl 0404.47032
Reich, Simeon
57
1978
Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets. Zbl 0986.42020
Han, Bin
56
2001
Approximation by periodic spline interpolants on uniform meshes. Zbl 0185.30901
Golomb, M.
56
1968
Error bounds for spline and L-spline interpolation. Zbl 0242.41008
Swartz, Blair K.; Varga, Richard S.
56
1972
Approximation of continuous and discontinuous functions by generalized sampling series. Zbl 0654.41004
Butzer, P. L.; Ries, S.; Stens, R. L.
55
1987
Common fixed points and best approximation. Zbl 0858.41022
Al-Thagafi, M. A.
55
1996
Inequalities for generalized hypergeometric functions. Zbl 0225.33004
Luke, Yudell L.
54
1972
Smooth interpolation in triangles. Zbl 0271.41002
Barnhill, R. E.; Birkhoff, G.; Gordon, W. J.
54
1973
Approximation spaces. Zbl 0489.47008
Pietsch, Albrecht
53
1981
The convexity of Bernstein polynomials over triangles. Zbl 0528.41005
Chang, Gengzhe; Davis, Philip J.
53
1984
Local sharp maximal functions. Zbl 0565.42009
Jawerth, B.; Torchinsky, A.
53
1985
Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems. Zbl 0187.11602
Cody, W. J.; Meinardus, G.; Varga, R. S.
53
1969
Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices. Zbl 0756.41004
Narcowich, Francis J.; Ward, Joseph D.
53
1992
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu
53
2014
Properties of generalized trigonometric functions. Zbl 1241.42019
Edmunds, David E.; Gurka, Petr; Lang, Jan
52
2012
Polynomial reproduction for univariate subdivision schemes of any arity. Zbl 1211.65022
Conti, Costanza; Hormann, Kai
51
2011
On best approximation by ridge functions. Zbl 0939.41014
Maiorov, V. E.
51
1999
Polynomial approximation on tetrahedrons in the finite element method. Zbl 0279.41005
Zenisek, Alexander
51
1973
Polyharmonic cardinal splines. Zbl 0702.41020
Madych, W. R.; Nelson, S. A.
51
1990
Uniform approximation by discrete least squares polynomials. Zbl 1145.41001
Calvi, Jean-Paul; Levenberg, Norman
50
2008
On the rate of convergence of Bernstein polynomials of functions of bounded variation. Zbl 0533.41020
Cheng, Fuhua
50
1983
Uniform approximation by neural networks. Zbl 0932.41016
Makovoz, Y.
50
1998
Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices. Zbl 0921.41015
Hudzik, H.; Kurc, W.
50
1998
Estimates of the Hermite and the Freud polynomials. Zbl 0716.42018
Bonan, Stanford S.; Clark, Dean S.
50
1990
Polynomial reproduction by symmetric subdivision schemes. Zbl 1159.41003
Dyn, Nira; Hormann, Kai; Sabin, Malcolm A.; Shen, Zuowei
49
2008
\(L_p\) metrics for compact convex sets. Zbl 0595.52005
Vitale, Richard A.
49
1985
Generalization of Hermite functions by fractal interpolation. Zbl 1068.41006
Navascués, M. A.; Sebastián, M. V.
49
2004
Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation. Zbl 0749.41031
Kurc, W.
49
1992
An application of a fixed-point theorem to approximation theory. Zbl 0399.41032
Singh, S. P.
49
1979
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions. Zbl 1135.42324
Daems, E.; Kuijlaars, A. B. J.
48
2007
The eigenstructure of the Bernstein operator. Zbl 0963.41006
Cooper, Shaun; Waldron, Shayne
48
2000
On some open problems of approximation theory. Zbl 0454.41001
Turán, Pál
48
1980
Inequalities for the polar derivative of a polynomial. Zbl 0685.41013
Aziz, Abdul
47
1988
On the convergence of odd-degree spline interpolation. Zbl 0174.09902
de Boor, C.
47
1968
Cardinal interpolation and spline functions. II: Interpolation of data of power growth. Zbl 0268.41004
Schoenberg, I. J.
47
1972
Lipschitz conditions on uniform approximation operators. Zbl 0274.41022
Cline, A. K.
47
1973
A Markov inequality in several dimensions. Zbl 0287.26016
Wilhelmsen, Don R.
47
1974
Iteration of positive approximation operators. Zbl 0199.44702
Karlin, S.; Ziegler, Z.
47
1970
Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension. Zbl 1101.65015
Bouboulis, P.; Dalla, Leoni; Drakopoulos, V.
46
2006
Norms of inverses and condition numbers for matrices associated with scattered data. Zbl 0724.41004
Narcowich, Francis J.; Ward, Joseph D.
46
1991
On uniform approximation by splines. Zbl 0193.02502
de Boor, Carl
45
1968
Theory of exponential splines. Zbl 0756.41019
McCartin, Brian J.
45
1991
Wavelets and pre-wavelets in low dimensions. Zbl 0772.41019
Riemenschneider, Sherman D.; Shen, Zuowei
45
1992
The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity. Zbl 1525.60018
Charlier, Christophe; Lenells, Jonatan
4
2023
Random sections of \(\ell_p\)-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators. Zbl 07720797
Hinrichs, Aicke; Prochno, Joscha; Sonnleitner, Mathias
2
2023
Absolute minima of potentials of certain regular spherical configurations. Zbl 07734903
Borodachov, Sergiy
2
2023
Estimates of entropy for multiplier operators of systems of orthonormal functions. Zbl 1527.41008
Milaré, J.; Kushpel, A. K.; Tozoni, S. A.
2
2023
Quarklet characterizations for Triebel-Lizorkin spaces. Zbl 07747925
Hovemann, Marc; Dahlke, Stephan
1
2023
Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers. Zbl 07734906
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar
1
2023
Randomized weakly admissible meshes. Zbl 1518.41006
Xu, Yiming; Narayan, Akil
1
2023
Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications. Zbl 07628663
Wang, Fan; Yang, Dachun; Yuan, Wen
1
2023
Bernstein inequality on conic domains and triangles. Zbl 1525.41006
Xu, Yuan
1
2023
Hermite-Padé approximation and integrability. Zbl 1519.41005
Doliwa, Adam; Siemaszko, Artur
1
2023
Approximation of functions with small mixed smoothness in the uniform norm. Zbl 1502.41007
Temlyakov, Vladimir N.; Ullrich, Tino
8
2022
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces. Zbl 1489.42004
Guella, J. C.
5
2022
Stable high-order randomized cubature formulae in arbitrary dimension. Zbl 1504.65080
Migliorati, Giovanni; Nobile, Fabio
5
2022
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels. Zbl 1509.41003
Bejancu, Aurelian
4
2022
\(s\)-numbers of embeddings of weighted Wiener algebras. Zbl 1504.41034
Nguyen, Van Dung; Nguyen, Van Kien; Sickel, Winfried
4
2022
A statistical learning assessment of Huber regression. Zbl 1504.62092
Feng, Yunlong; Wu, Qiang
3
2022
Exact \(L_2\) Bernstein-Markov inequality on the ball. Zbl 1519.41003
Kroó, András
3
2022
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures. Zbl 1481.60007
Bencheikh, O.; Jourdain, B.
2
2022
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators. Zbl 1490.41004
Xiang, Jim X.
1
2022
Bump functions with monotone Fourier transforms satisfying decay bounds. Zbl 07509390
Tlas, T.
1
2022
About essential spectra of unbounded Jacobi matrices. Zbl 1497.47052
Świderski, Grzegorz; Trojan, Bartosz
1
2022
The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions. Zbl 1516.33008
Markett, Clemens
1
2022
Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm. Zbl 1518.46005
Nikolski, Nikolai; Volberg, Alexander
1
2022
Asymptotics for orthogonal polynomials and separation of their zeros. Zbl 1517.42025
Levin, Eli; Lubinsky, D. S.
1
2022
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters. Zbl 1519.42024
Durán, Antonio J.
1
2022
Codimension 1 minimal projections onto the lines in \(L^p\). Zbl 1522.46014
Lewicki, Grzegorz; Prophet, Michael
1
2022
Extended best \(L^p\)-approximation is near-best approximation in \(L^q, p - 1 \leq q < p\). Zbl 1521.41003
Kovac, F. D.; Levis, F. E.
1
2022
New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials. Zbl 1506.42033
Durán, Antonio J.
1
2022
A simple upper bound for Lebesgue constants associated with Leja points on the real line. Zbl 1497.41001
Andrievskii, Vladimir; Nazarov, Fedor
1
2022
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials. Zbl 1501.30003
Heim, Bernhard; Neuhauser, Markus
1
2022
Hard edge statistics of products of Pólya ensembles and shifted GUE’s. Zbl 07480981
Kieburg, Mario
1
2022
Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant. Zbl 1502.41004
Leont&rsquo;eva, Anastasiya O.
1
2022
Nonlinear steepest descent approach to orthogonality on elliptic curves. Zbl 1503.30097
Bertola, M.
1
2022
On the asymptotic behavior of Jacobi polynomials with first varying parameter. Zbl 1517.33004
Szehr, Oleg; Zarouf, Rachid
1
2022
Concentration inequalities for cross-validation in scattered data approximation. Zbl 07501641
Bartel, Felix; Hielscher, Ralf
1
2022
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings. Zbl 07501643
Prochno, Joscha; Strzelecki, Michał
1
2022
A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. Zbl 1458.65018
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard
12
2021
Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\). Zbl 1464.46022
Alimov, A. R.; Tsar&rsquo;kov, I. G.
7
2021
Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble. Zbl 1481.15037
Forrester, Peter J.; Li, Shi-Hao; Trinh, Allan K.
5
2021
An intersection representation for a class of anisotropic vector-valued function spaces. Zbl 1467.46037
Lindemulder, Nick
5
2021
About families of orthogonal polynomials satisfying Heun’s differential equation. Zbl 1462.33004
Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André
4
2021
Norm estimates for Chebyshev polynomials, I. Zbl 1462.41012
Schiefermayr, Klaus; Zinchenko, Maxim
4
2021
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros. Zbl 1472.33007
Bracciali, Cleonice F.; da Silva, Jéssica V.; Ranga, A. Sri
4
2021
On the representing measures of Dunkl’s intertwining operator. Zbl 1482.44010
Jiu, Jiaxi; Li, Zhongkai
4
2021
Approximation properties of periodic multivariate quasi-interpolation operators. Zbl 1475.41008
Kolomoitsev, Yurii; Prestin, Jürgen
4
2021
Factorization of Hermite subdivision operators from polynomial over-reproduction. Zbl 1490.65024
Moosmüller, Caroline; Sauer, Tomas
3
2021
Kernel gradient descent algorithm for information theoretic learning. Zbl 1479.62024
Hu, Ting; Wu, Qiang; Zhou, Ding-Xuan
3
2021
Weighted embeddings for function spaces associated with Hermite expansions. Zbl 1471.46036
Bui, The Anh; Li, Ji; Ly, Fu Ken
3
2021
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations. Zbl 1472.34158
Nemes, Gergő
3
2021
Negative results in coconvex approximation of periodic functions. Zbl 1467.42001
Dzyubenko, German; Voloshyna, Victoria; Yushchenko, Lyudmyla
3
2021
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero. Zbl 1471.41013
Vasil&rsquo;eva, A. A.
3
2021
Matrix-valued orthogonal polynomials related to hexagon tilings. Zbl 1518.33006
Groot, Alan; Kuijlaars, Arno B. J.
3
2021
Fourier-Zernike series of compactly supported convolutions on \(\mathrm{SE}(2)\). Zbl 1491.43005
Ghaani Farashahi, Arash; Chirikjian, Gregory S.
2
2021
Asymptotically optimal cubature formulas on manifolds for prefixed weights. Zbl 1480.41009
Ehler, Martin; Etayo, Ujué; Gariboldi, Bianca; Gigante, Giacomo; Peter, Thomas
2
2021
On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. Zbl 1482.41001
De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco
2
2021
Markov-type inequalities and extreme zeros of orthogonal polynomials. Zbl 1486.41006
Nikolov, Geno; Shadrin, Alexei
2
2021
Error bounds for the method of simultaneous projections with infinitely many subspaces. Zbl 1487.41026
Reich, Simeon; Zalas, Rafał
2
2021
Asymptotic behavior of orthogonal polynomials. Singular critical case. Zbl 1457.33004
Yafaev, D. R.
2
2021
Constants of strong uniqueness of minimal projections onto some \(n\)-dimensional subspaces of \(l_\infty^{2n}$ ($n \geq 2$). Zbl 1468.41012
Martynov, O. M.
2
2021
Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind. Zbl 1478.11029
Štampach, František
2
2021
Bispectrality of Meixner type polynomials. Zbl 1462.42044
Durán, Antonio J.; Rueda, Mónica
2
2021
Distributed learning and distribution regression of coefficient regularization. Zbl 1479.62023
Dong, Shunan; Sun, Wenchang
2
2021
Absorbing-reflecting factorizations for birth-death chains on the integers and their Darboux transformations. Zbl 1469.60229
de la Iglesia, Manuel D.; Juarez, Claudia
2
2021
Measure of noncompactness of Sobolev embeddings on strip-like domains. Zbl 1483.46029
Edmunds, David E.; Lang, Jan; Mihula, Zdeněk
2
2021
Approximation theorems on graphs. Zbl 1473.05296
Huang, Chao; Zhang, Qian; Huang, Jianfeng; Yang, Lihua
2
2021
“Near-best” polynomial approximation of harmonic functions on compact sets in \(\mathbb{C}\). Zbl 1486.41003
Kryvonos, Liudmyla
1
2021
Entropy function and orthogonal polynomials. Zbl 1492.42023
Bessonov, R. V.
1
2021
Signal separation under coherent dictionaries and \(\ell_p\)-bounded noise. Zbl 1458.94146
Xia, Yu; Li, Song
1
2021
The matching condition for larger size Riemann-Hilbert problems. Zbl 1456.30070
Molag, L. D.
1
2021
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation. Zbl 1477.65091
Leblond, Juliette; Pozzi, Elodie
1
2021
On modular approximants in sequential convergence spaces. Zbl 1462.41015
Kozlowski, Wojciech M. (Walter)
1
2021
A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces. Zbl 1464.41007
Kumar, Vishvesh; Ruzhansky, Michael
1
2021
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation. Zbl 1464.41006
Kopotun, K. A.; Leviatan, D.; Shevchuk, I. A.
1
2021
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation. Zbl 1460.41002
Irigoyen, Amadeo
1
2021
Asymptotics of sharp constants in Markov-Bernstein-Nikolskii type inequalities with exponential weights. Zbl 1469.41003
Ganzburg, Michael I.
1
2021
Approximating the \(p\)th root by composite rational functions. Zbl 1471.41006
Gawlik, Evan S.; Nakatsukasa, Yuji
1
2021
A matrix version of a higher-order Szegő theorem. Zbl 1476.60007
Rouault, Alain
1
2021
Optimal dual quantizers of \(1 D\log \)-concave distributions: uniqueness and Lloyd like algorithm. Zbl 1478.60052
Jourdain, Benjamin; Pagès, Gilles
1
2021
Sharp \(L_p\) Bernstein type inequality for cuspidal domains in \(\mathbb{R}^d\). Zbl 1468.41006
Kroó, András
1
2021
Turán’s inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials. Zbl 1470.33011
Kahler, Stefan
1
2021
Geometric computation of Christoffel functions on planar convex domains. Zbl 1469.42028
Prymak, A.
1
2021
Reconstruction of functions from prescribed proximal points. Zbl 1472.41014
Combettes, Patrick L.; Woodstock, Zev C.
1
2021
Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces. Zbl 1448.42030
Huang, Long; Liu, Jun; Yang, Dachun; Yuan, Wen
18
2020
Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004
Kolomoitsev, Yurii; Tikhonov, Sergey
14
2020
The Eneström-Kakeya theorem for polynomials of a quaternionic variable. Zbl 1441.30070
Carney, N.; Gardner, R.; Keaton, R.; Powers, A.
11
2020
Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. Zbl 1446.41005
Gröchenig, Karlheinz
11
2020
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
8
2020
Error analysis of Lagrange interpolation on tetrahedrons. Zbl 07135029
Kobayashi, Kenta; Tsuchiya, Takuya
7
2020
Alternating projections, remotest projections, and greedy approximation. Zbl 1458.46020
Borodin, Petr A.; Kopecká, Eva
7
2020
Hermite pseudo-multipliers on new Besov and Triebel-Lizorkin spaces. Zbl 1437.42032
Bui, The Anh
7
2020
Asymptotics of the generalized Gegenbauer functions of fractional degree. Zbl 1435.30123
Liu, Wenjie; Wang, Li-Lian
7
2020
Multivariate bounded variation functions of Jordan-Wiener type. Zbl 1436.26012
Brudnyi, Alexander; Brudnyi, Yuri
7
2020
Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\). Zbl 1431.41005
Kroó, András
6
2020
Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets. Zbl 1435.41011
Ganzburg, Michael I.
6
2020
Corrigendum on the proof of completeness for exceptional Hermite polynomials: “Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials”. Zbl 1441.81087
Gómez-Ullate, David; Grandati, Yves; Milson, Robert
6
2020
Constructive description of Hölder-like classes on an arc in \(\mathbb{R}^3\) by means of harmonic functions. Zbl 1429.41014
Alexeeva, Tatyana A.; Shirokov, Nikolay A.
5
2020
EC-tractability of \(\mathbb{L}_p\)-approximation in Korobov spaces with exponential weights. Zbl 1429.41032
Xu, Guiqiao
5
2020
Two double-angle formulas of generalized trigonometric functions. Zbl 1431.33022
Sato, Shota; Takeuchi, Shingo
5
2020
Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1437.33008
Leurs, Marjolein; Van Assche, Walter
5
2020
A higher order Faber spline basis for sampling discretization of functions. Zbl 1444.42035
Derevianko, Nadiia; Ullrich, Tino
5
2020
...and 1573 more Documents
all top 5

Cited by 16,518 Authors

140 Marcellán Español, Francisco
120 Lubinsky, Doron S.
76 Dunham, Charles B.
74 Van Assche, Walter
73 Saff, Edward Barry
70 Gupta, Vijay
67 Durán, Antonio José
64 Chui, Charles Kam-tai
61 Vinti, Gianluca
60 Costarelli, Danilo
60 Kumam, Poom
60 Leviatan, Dany
58 Rasa, Ioan
57 Chand, Arya Kumar Bedabrata
57 Kuijlaars, Arno B. J.
57 Totik, Vilmos
57 Xu, Yuan
55 Kroó, András
55 Mir, Abdullah
54 Ismail, Mourad El-Houssieny
53 Butzer, Paul Leo
53 Dyn, Nira
52 Ditzian, Zeev
52 Park, Choonkil
52 Sloan, Ian Hugh
52 Weisz, Ferenc
51 Eshaghi Gordji, Madjid
51 Mastroianni, Giuseppe
51 Shahzad, Naseer
50 López Lagomasino, Guillermo Tomás
49 Erdélyi, Tamás
49 Wang, Heping
48 Chu, Yuming
48 Mazure, Marie-Laurence
48 Yang, Dachun
47 Chen, Yang
47 Mhaskar, Hrushikesh N.
46 Dai, Feng
46 Temlyakov, Vladimir Nikolaevich
45 Bauschke, Heinz H.
45 Li, Chong
44 Peherstorfer, Franz
44 Sri Ranga, Alagacone
43 Rassias, John Michael
43 Woźniakowski, Henryk
42 Cao, Feilong
41 Goginava, Ushangi
41 Martínez-Finkelshtein, Andrei
41 Milovanović, Gradimir V.
41 Simon, Barry
41 Tikhonov, Sergey Yur’evich
40 Abel, Ulrich
40 Takahashi, Wataru
40 Vianello, Marco
39 Agarwal, Ravi P.
39 Aptekarev, Alexander Ivanovich
39 Bardaro, Carlo
39 Serra-Capizzano, Stefano
39 Yao, Jen-Chih
38 Anastassiou, George Angelos
38 Nürnberger, Günther
38 Schumaker, Larry L.
37 Deutsch, Frank
37 Goodman, Timothy N. T.
37 Micchelli, Charles A.
37 Navascués, María Antonia
37 Viswanathan, Puthan Veedu
36 Bultheel, Adhemar François
36 De Marchi, Stefano
36 Gonska, Heinz Herbert
36 Han, Bin
36 Manni, Carla
36 Reich, Simeon
36 Shi, Yingguang
36 Ullrich, Tino
36 Ward, Joseph Dinneen
36 Wasilkowski, Grzegorz W.
35 Agrawal, Purshottam Narain
35 Cobos, Fernando
35 Ding, Jiu
35 Hudzik, Henryk
35 Li, Yunzhang
35 Moreno-Balcázar, Juan José
35 Piñar, Miguel A.
35 Speleers, Hendrik
35 Yuan, Wen
34 Conti, Costanza
34 Haroske, Dorothee D.
34 Mantellini, Ilaria
34 Nevai, Paul G.
33 Bos, Len P.
33 Cuyt, Annie A. M.
33 Gát, György
33 Jia, Rong-Qing
33 Njåstad, Olav
32 Cho, Yeol Je
32 Ostrovska, Sofiya
32 Peña, Juan Manuel
32 Pérez, Teresa E.
32 Schaback, Robert
...and 16,418 more Authors
all top 5

Cited in 976 Journals

2,908 Journal of Approximation Theory
1,065 Journal of Mathematical Analysis and Applications
933 Journal of Computational and Applied Mathematics
458 Constructive Approximation
406 Applied Mathematics and Computation
316 Numerical Functional Analysis and Optimization
311 Proceedings of the American Mathematical Society
296 Numerische Mathematik
271 Mathematics of Computation
265 Numerical Algorithms
257 Journal of Inequalities and Applications
256 Computers & Mathematics with Applications
234 Computer Aided Geometric Design
227 Applied and Computational Harmonic Analysis
226 Journal of Functional Analysis
219 Mathematical Notes
215 Results in Mathematics
215 Advances in Computational Mathematics
208 Journal of Complexity
193 Linear Algebra and its Applications
186 Transactions of the American Mathematical Society
183 The Journal of Fourier Analysis and Applications
180 Abstract and Applied Analysis
178 Acta Mathematica Hungarica
165 Applied Numerical Mathematics
157 Fixed Point Theory and Applications
153 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
152 Computer Methods in Applied Mechanics and Engineering
140 Integral Transforms and Special Functions
138 Ukrainian Mathematical Journal
130 Mathematische Nachrichten
130 Mediterranean Journal of Mathematics
127 Analysis Mathematica
126 Journal of Mathematical Physics
117 Acta Mathematica Sinica. English Series
116 Advances in Mathematics
115 Journal of Computational Physics
114 Proceedings of the Steklov Institute of Mathematics
111 Rocky Mountain Journal of Mathematics
107 Applicable Analysis
101 Communications in Mathematical Physics
99 International Journal of Wavelets, Multiresolution and Information Processing
97 Journal of Optimization Theory and Applications
96 Mathematische Zeitschrift
96 Computational Methods and Function Theory
94 BIT
93 Journal of Mathematical Sciences (New York)
91 Applied Mathematics Letters
89 Bulletin of the Australian Mathematical Society
88 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
87 Calcolo
83 Israel Journal of Mathematics
83 International Journal of Computer Mathematics
83 Analysis in Theory and Applications
81 Computing
79 Journal d’Analyse Mathématique
79 Journal of Scientific Computing
77 Journal of Difference Equations and Applications
77 The Ramanujan Journal
74 Fractals
71 Optimization
71 Engineering Analysis with Boundary Elements
70 Indagationes Mathematicae. New Series
68 Analysis and Applications (Singapore)
67 Positivity
67 Complex Analysis and Operator Theory
66 Aequationes Mathematicae
63 Advances in Difference Equations
60 Science China. Mathematics
59 Mathematical Methods in the Applied Sciences
59 Foundations of Computational Mathematics
59 Journal of Function Spaces
57 Archiv der Mathematik
57 Mathematische Annalen
57 Siberian Mathematical Journal
56 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
56 SIAM Journal on Scientific Computing
54 Monatshefte für Mathematik
54 Acta Applicandae Mathematicae
53 SIAM Journal on Numerical Analysis
52 Mathematical and Computer Modelling
52 Computational and Applied Mathematics
51 Mathematics and Computers in Simulation
50 Filomat
49 Integral Equations and Operator Theory
49 The Journal of Geometric Analysis
48 Applied Mathematics. Series B (English Edition)
45 Rendiconti del Circolo Matemàtico di Palermo. Serie II
45 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
45 Banach Journal of Mathematical Analysis
44 Journal of Differential Equations
44 Mathematical Inequalities & Applications
44 Random Matrices: Theory and Applications
43 Nonlinear Analysis. Theory, Methods & Applications
42 Advances in Applied Mathematics
42 Sbornik: Mathematics
42 Comptes Rendus. Mathématique. Académie des Sciences, Paris
42 Analysis and Mathematical Physics
41 International Journal of Mathematics and Mathematical Sciences
41 Potential Analysis
...and 876 more Journals
all top 5

Cited in 61 Fields

8,581 Approximations and expansions (41-XX)
5,356 Numerical analysis (65-XX)
4,124 Harmonic analysis on Euclidean spaces (42-XX)
2,772 Functional analysis (46-XX)
2,700 Operator theory (47-XX)
2,331 Special functions (33-XX)
1,849 Functions of a complex variable (30-XX)
1,317 Real functions (26-XX)
1,111 Partial differential equations (35-XX)
993 Probability theory and stochastic processes (60-XX)
750 Ordinary differential equations (34-XX)
698 Operations research, mathematical programming (90-XX)
689 Linear and multilinear algebra; matrix theory (15-XX)
685 Statistics (62-XX)
664 Information and communication theory, circuits (94-XX)
642 Difference and functional equations (39-XX)
591 Computer science (68-XX)
502 Calculus of variations and optimal control; optimization (49-XX)
489 Number theory (11-XX)
473 Measure and integration (28-XX)
414 General topology (54-XX)
338 Dynamical systems and ergodic theory (37-XX)
335 Integral equations (45-XX)
335 Convex and discrete geometry (52-XX)
315 Combinatorics (05-XX)
299 Integral transforms, operational calculus (44-XX)
296 Quantum theory (81-XX)
285 Potential theory (31-XX)
271 Abstract harmonic analysis (43-XX)
268 Sequences, series, summability (40-XX)
215 Fluid mechanics (76-XX)
213 Mechanics of deformable solids (74-XX)
211 Statistical mechanics, structure of matter (82-XX)
206 Several complex variables and analytic spaces (32-XX)
181 Systems theory; control (93-XX)
141 Biology and other natural sciences (92-XX)
139 Global analysis, analysis on manifolds (58-XX)
129 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
102 Differential geometry (53-XX)
73 Topological groups, Lie groups (22-XX)
64 History and biography (01-XX)
63 Algebraic geometry (14-XX)
51 Mathematical logic and foundations (03-XX)
48 Geometry (51-XX)
48 Optics, electromagnetic theory (78-XX)
48 Geophysics (86-XX)
43 Field theory and polynomials (12-XX)
42 Group theory and generalizations (20-XX)
36 Order, lattices, ordered algebraic structures (06-XX)
35 Mechanics of particles and systems (70-XX)
34 Commutative algebra (13-XX)
33 Classical thermodynamics, heat transfer (80-XX)
26 Nonassociative rings and algebras (17-XX)
23 General and overarching topics; collections (00-XX)
21 Relativity and gravitational theory (83-XX)
20 Associative rings and algebras (16-XX)
16 Algebraic topology (55-XX)
14 Manifolds and cell complexes (57-XX)
6 Mathematics education (97-XX)
5 Category theory; homological algebra (18-XX)
5 Astronomy and astrophysics (85-XX)

Citations by Year