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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: 1,322 Publications (since 1985)
References Indexed: 969 Publications with 22,420 References.
all top 5

Latest Issues

59, No. 1 (2024)
58, No. 3 (2023)
58, No. 2 (2023)
58, No. 1 (2023)
57, No. 3 (2023)
57, No. 2 (2023)
57, No. 1 (2023)
56, No. 3 (2022)
56, No. 2 (2022)
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55, No. 3 (2022)
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38, No. 1 (2013)
37, No. 3 (2013)
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37, No. 1 (2013)
36, No. 3 (2012)
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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)
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33, No. 1 (2011)
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)
26, No. 2 (2007)
26, No. 1 (2007)
...and 83 more Volumes
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Authors

28 Lubinsky, Doron S.
22 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 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 Hardin, Douglas P.
8 Kerkyacharian, Gérard
8 Levenberg, Norman jun.
8 Ruscheweyh, Stephan
8 Wielonsky, Franck
7 Blatt, Hans-Peter
7 Bloom, Thomas
7 Daubechies, Ingrid Chantal
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 Davydov, Oleg V.
4 Gaier, Dieter
4 Gardiner, Stephen J.
4 Gribonval, Rémi
4 Littmann, Friedrich
4 Marcellán Español, Francisco
...and 1,272 more Authors
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Fields

742 Approximations and expansions (41-XX)
376 Harmonic analysis on Euclidean spaces (42-XX)
257 Functions of a complex variable (30-XX)
234 Numerical analysis (65-XX)
180 Special functions (33-XX)
127 Functional analysis (46-XX)
90 Operator theory (47-XX)
70 Real functions (26-XX)
61 Potential theory (31-XX)
59 Probability theory and stochastic processes (60-XX)
56 Computer science (68-XX)
53 Ordinary differential equations (34-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
43 Information and communication theory, circuits (94-XX)
39 Number theory (11-XX)
34 Measure and integration (28-XX)
33 Partial differential equations (35-XX)
30 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 Combinatorics (05-XX)
19 Convex and discrete geometry (52-XX)
16 Sequences, series, summability (40-XX)
16 Quantum theory (81-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Operations research, mathematical programming (90-XX)
10 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 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 Field theory and polynomials (12-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

1,176 Publications have been cited 15,133 times in 10,892 Documents Cited by Year
Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005
Micchelli, Charles A.
438
1986
Fractal functions and interpolation. Zbl 0606.41005
Barnsley, Michael F.
308
1986
Symmetric iterative interpolation processes. Zbl 0659.65004
Deslauriers, Gilles; Dubuc, Serge
268
1989
Learning theory estimates via integral operators and their approximations. Zbl 1127.68088
Smale, Steve; Zhou, Ding-Xuan
237
2007
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
236
2008
Adaptive greedy approximations. Zbl 0885.41006
Davis, G.; Mallat, S.; Avellaneda, M.
121
1997
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
119
1993
Recurrent iterated function systems. Zbl 0659.60045
Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P.
114
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.
101
1985
\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. Zbl 1228.65069
Khoromskij, Boris N.
90
2011
On early stopping in gradient descent learning. Zbl 1125.62035
Yao, Yuan; Rosasco, Lorenzo; Caponnetto, Andrea
81
2007
Multivariate cardinal interpolation with radial-basis functions. Zbl 0719.41007
Buhmann, M. D.
79
1990
Weighted polynomial inequalities with doubling and \(A_\infty\) weights. Zbl 0956.42001
Mastroianni, Giuseppe; Totik, Vilmos
77
2000
Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012
Beatson, R. K.; Powell, M. J. D.
76
1992
Multivariate interpolation by polynomials and radial basis functions. Zbl 1076.41003
Schaback, Robert
75
2005
The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.
75
2003
Summation and transformation formulas for elliptic hypergeometric series. Zbl 1040.33013
Warnaar, S. O.
68
2002
Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025
Daubechies, Ingrid; Han, Bin
68
2004
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
66
1990
Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights. Zbl 0762.41011
Levin, A. L.; Lubinsky, D. S.
65
1992
Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011
Dyn, Nira; Gregory, John A.; Levin, David
64
1991
Simple cubature formulas with high polynomial exactness. Zbl 0942.41018
Novak, Erich; Ritter, Klaus
63
1999
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
63
2001
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
63
2006
The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\). Zbl 0646.41008
Alfeld, Peter; Schumaker, L. L.
62
1987
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
62
2013
Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004
Carnicer, J. M.; Mainar, E.; Peña, J. M.
56
2004
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
Speleers, Hendrik
56
2013
Convexity preserving interpolatory subdivision schemes. Zbl 0918.41002
Kuijt, F.; van Damme, R.
55
1998
Orthogonal polynomials with complex-valued weight function. I. Zbl 0592.42016
Stahl, Herbert
55
1986
Intrinsic localization of frames. Zbl 1130.41304
Fornasier, Massimo; Gröchenig, Karlheinz
54
2005
Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
Han, Bin; Shen, Zuowei
54
2009
A recurrence relation for Chebyshevian B-splines. Zbl 0583.41011
Lyche, Tom
53
1985
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
53
2013
Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A.
52
2000
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B.
51
1988
Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\). Zbl 0822.46031
Ditzian, Z.; Hristov, V. H.; Ivanov, K. G.
50
1995
Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017
López, G.; Marcellán, F.; Van Assche, Walter
50
1995
On classical orthogonal polynomials. Zbl 0837.33010
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K.
50
1995
Biorthogonal wavelet expansions. Zbl 0882.65148
Dahmen, W.; Micchelli, C. A.
50
1997
Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
50
2021
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. Zbl 1117.15025
Vanlessen, M.
49
2007
Blossoming: A geometrical approach. Zbl 0924.65010
Mazure, M.-L.
49
1999
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
49
2008
Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017
Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing
49
2004
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
49
2017
An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob
48
2009
Approximation order provided by refinable function vectors. Zbl 0870.41015
Plonka, G.
48
1997
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
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q
46
2012
Optimized tensor-product approximation spaces. Zbl 0969.65107
Griebel, M.; Knapek, S.
46
2000
Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials. Zbl 0987.41016
Israfilov, D. M.
46
2001
A boundedness criterion via atoms for linear operators in Hardy spaces. Zbl 1283.42029
Yang, Dachun; Zhou, Yuan
46
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.
45
2000
Greedy algorithm and \(m\)-term trigonometric approximation. Zbl 0931.42002
Temlyakov, V. N.
45
1998
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
45
1998
Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. Zbl 1252.46018
Steinwart, Ingo; Scovel, Clint
45
2012
Chebyshev spaces and Bernstein bases. Zbl 1116.41006
Mazure, Marie-Laurence
44
2005
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E.
44
1997
Tight frames and their symmetries. Zbl 1059.42026
Vale, Richard; Waldron, Shayne
43
2005
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold
43
2022
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
Nikishin systems are perfect. Zbl 1258.30015
Fidalgo Prieto, U.; López Lagomasino, G.
42
2011
Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
41
2015
An \(n\)-dimensional Clough-Tocher interpolant. Zbl 0631.41003
Worsey, A. J.; Farin, G.
40
1987
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
Máté, Attila; Nevai, Paul; Totik, Vilmos
40
1987
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
40
1992
Wavelets and self-affine tilings. Zbl 0813.42021
Strichartz, Robert S.
39
1993
Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere. Zbl 1391.82002
Bétermin, Laurent; Sandier, Etienne
39
2018
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
Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034
Geronimo, Jeffrey S.; Iliev, Plamen
38
2010
Vector-valued, rational interpolants. III. Zbl 0614.41016
Graves-Morris, P. R.; Jenkins, C. D.
38
1986
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
37
2008
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.
37
2009
Analysis of the intrinsic mode functions. Zbl 1100.94006
Sharpley, Robert C.; Vatchev, Vesselin
37
2006
Symmetric framelets. Zbl 1037.42038
Petukhov, Alexander
36
2003
Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. Zbl 1210.41010
Gröchenig, Karlheinz; Klotz, Andreas
36
2010
Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
36
2022
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
Buhmann, M. D.; Dyn, N.; Levin, D.
35
1995
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
Jetter, Kurt; Zhou, Ding-Xuan
35
1995
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
35
2000
Exponential box splines. Zbl 0674.41005
Ron, Amos
34
1988
Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014
Novak, Erich; Triebel, Hans
34
2006
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
34
2004
Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory. Zbl 1204.68157
Minh, Ha Quang
34
2010
On trigonometric wavelets. Zbl 0780.42020
Chui, C. K.; Mhaskar, H. N.
33
1993
Regularity of multivariate refinable functions. Zbl 0937.42017
Cohen, A.; Gröchenig, K.; Villemoes, L. F.
33
1999
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
33
1999
Approximation by radial basis functions with finitely many centers. Zbl 0855.41011
Schaback, R.
33
1996
The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation. Zbl 1321.34115
Clarkson, Peter A.; Jordaan, Kerstin
33
2014
Constrained best approximation in Hilbert space. Zbl 0682.41034
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
32
1990
Wiener’s lemma for infinite matrices. II. Zbl 1253.46057
Sun, Qiyu
32
2011
Elliptic integral inequalities with applications. Zbl 0901.33011
Anderson, G. D.; Qiu, S.-L.; Vamanamurthy, M. K.
32
1998
Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). Zbl 1185.65051
Khoromskij, Boris N.
32
2009
Polynomial inequalities on measurable sets and their applications. Zbl 0991.41008
Ganzburg, M. I.
32
2001
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015
Dyn, N.; Narcowich, F. J.; Ward, J. D.
32
1999
Exponential asymptotics of the Mittag-Leffler function. Zbl 1025.33009
Wong, R.; Zhao, Yu-Qiu
32
2002
Constrained interpolation and smoothing. Zbl 0596.41012
Irvine, Larry D.; Marin, Samuel P.; Smith, Philip W.
32
1986
Riesz energy problems with external fields and related theory. Zbl 1516.31014
Dragnev, P. D.; Orive, R.; Saff, E. B.; Wielonsky, F.
3
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
3
2023
Fourier interpolation with zeros of zeta and \(L\)-functions. Zbl 1528.11076
Bondarenko, Andriy; Radchenko, Danylo; Seip, Kristian
3
2023
Constructive approximation on graded meshes for the integral fractional Laplacian. Zbl 07680067
Borthagaray, Juan Pablo; Nochetto, Ricardo H.
3
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
2
2023
Sampling discretization of the uniform norm. Zbl 1528.41067
Kashin, B.; Konyagin, S.; Temlyakov, V.
2
2023
Coconvex approximation of periodic functions. Zbl 1528.41044
Leviatan, D.; Shevchuk, I. A.
2
2023
An embedding of ReLU networks and an analysis of their identifiability. Zbl 07680079
Stock, Pierre; Gribonval, Rémi
2
2023
Cyclic polynomials in Dirichlet-type spaces in the unit ball of \(\mathbb{C}^2\). Zbl 07751274
Kosiński, Łukasz; Vavitsas, Dimitrios
2
2023
Approximation theory of tree tensor networks: tensorized univariate functions. Zbl 07751277
Ali, Mazen; Nouy, Anthony
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
Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents. Zbl 1518.46025
Izuki, Mitsuo; Nogayama, Toru; Noi, Takahiro; Sawano, Yoshihiro
1
2023
Approximation with one-bit polynomials in Bernstein form. Zbl 07680072
Güntürk, C. Sinan; Li, Weilin
1
2023
On the sparsity of Lasso minimizers in sparse data recovery. Zbl 1512.94020
Foucart, Simon; Tadmor, Eitan; Zhong, Ming
1
2023
Approximation and localized polynomial frame on double hyperbolic and conic domains. Zbl 1528.41018
Xu, Yuan
1
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Variable anisotropic singular integral operators. Zbl 07751275
Bownik, Marcin; Li, Baode; Li, Jinxia
1
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Multivariate generalized Hermite subdivision schemes. Zbl 1528.41003
Han, Bin
1
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Universal sampling discretization. Zbl 07781586
Dai, F.; Temlyakov, V.
1
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Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems. Zbl 1525.33007
Gharakhloo, Roozbeh; Witte, Nicholas S.
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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Characterization of the variation spaces corresponding to shallow neural networks. Zbl 07698579
Siegel, Jonathan W.; Xu, Jinchao
1
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Universal regular conditional distributions via probabilistic transformers. Zbl 07698581
Kratsios, Anastasis
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
43
2022
Nonlinear approximation and (deep) ReLU networks. Zbl 1501.41003
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
36
2022
DNN expression rate analysis of high-dimensional PDEs: application to option pricing. Zbl 1500.35009
Elbrächter, Dennis; Grohs, Philipp; Jentzen, Arnulf; Schwab, Christoph
30
2022
Approximation spaces of deep neural networks. Zbl 1491.82017
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix
25
2022
The Barron space and the flow-induced function spaces for neural network models. Zbl 1490.65020
E, Weinan; Ma, Chao; Wu, Lei
24
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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.
20
2022
A vector equilibrium problem for symmetrically located point charges on a sphere. Zbl 1494.31017
Criado del Rey, Juan G.; Kuijlaars, Arno B. J.
5
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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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Universal approximations of invariant maps by neural networks. Zbl 1505.41019
Yarotsky, Dmitry
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.
4
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Optimal sampling and Christoffel functions on general domains. Zbl 1517.41001
Dolbeault, Matthieu; Cohen, Albert
4
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Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042
Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael
4
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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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On the value-distribution of Hurwitz zeta-functions with algebraic parameter. Zbl 1497.11226
Sourmelidis, Athanasios; Steuding, Jörn
2
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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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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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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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Phase retrieval by binary questions: which complementary subspace is closer? Zbl 1495.94013
Domel-White, Dylan; Bodmann, Bernhard G.
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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Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
50
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Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni
20
2021
Sampling discretization of integral norms. Zbl 1480.65060
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
8
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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
6
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Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I. Zbl 1479.42069
Świderski, Grzegorz; Trojan, Bartosz
6
2021
Boundary behavior of optimal polynomial approximants. Zbl 1475.30011
Bénéteau, Catherine; Manolaki, Myrto; Seco, Daniel
6
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Strong partially greedy bases and Lebesgue-type inequalities. Zbl 1491.41011
Berasategui, M.; Berná, P. M.; Lassalle, S.
5
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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
5
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.
5
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Wiener algebras and trigonometric series in a coordinated fashion. Zbl 1477.42003
Liflyand, E.; Trigub, R.
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
2021
Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
4
2021
Turán-type reverse Markov inequalities for polynomials with restricted zeros. Zbl 1479.41011
Erdélyi, Tamás
4
2021
Logarithmic equilibrium on the sphere in the presence of multiple point charges. Zbl 1477.31022
Legg, A. R.; Dragnev, P. D.
3
2021
Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem. Zbl 1461.33005
Yakubovich, S.
3
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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
2021
Discrepancy of minimal Riesz energy points. Zbl 1496.11102
Marzo, Jordi; Mas, Albert
2
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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
2
2021
Planar sampling sets for the short-time Fourier transform. Zbl 1466.42007
Jaming, Philippe; Speckbacher, Michael
2
2021
Besov spaces induced by doubling weights. Zbl 1473.30031
Reijonen, Atte
2
2021
Zero distribution of orthogonal polynomials on a \(q\)-lattice. Zbl 1477.31008
Van Assche, Walter; Van Baelen, Quinten
2
2021
Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials. Zbl 1494.33005
Kahler, Stefan
1
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Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1473.46040
Caetano, António; Kempka, Henning
1
2021
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
2021
Rational minimax iterations for computing the matrix \(p\)th root. Zbl 1510.65079
Gawlik, Evan S.
1
2021
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
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
Manifold approximation by moving least-squares projection (MMLS). Zbl 1455.65042
Sober, Barak; Levin, David
9
2020
On accumulated Cohen’s class distributions and mixed-state localization operators. Zbl 1444.81024
Luef, Franz; Skrettingland, Eirik
9
2020
The generalized operator based Prony method. Zbl 1455.65058
Stampfer, Kilian; Plonka, Gerlind
6
2020
Approximation to uniform distribution in \(\mathrm{SO}(3)\). Zbl 1469.60152
Beltrán, Carlos; Ferizović, Damir
6
2020
Minimal soft lattice theta functions. Zbl 1445.74020
Bétermin, Laurent
6
2020
Szegő condition and scattering for one-dimensional Dirac operators. Zbl 1516.34124
Bessonov, R. V.
6
2020
Fejér polynomials and control of nonlinear discrete systems. Zbl 1436.93102
Dmitrishin, D.; Hagelstein, P.; Khamitova, A.; Korenovskyi, A.; Stokolos, A.
6
2020
Existence of meromorphic solutions of first-order difference equations. Zbl 1441.39015
Korhonen, Risto; Zhang, Yueyang
6
2020
Sharp approximations for the Ramanujan constant. Zbl 1452.11149
Qiu, Song-Liang; Ma, Xiao-Yan; Huang, Ti-Ren
5
2020
Jacobi-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1436.33008
Leurs, Marjolein; Van Assche, Walter
5
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
4
2020
Intertwining operators associated with dihedral groups. Zbl 1455.33008
Xu, Yuan
4
2020
Pointwise and uniform convergence of Fourier extensions. Zbl 1444.42003
Webb, Marcus; Coppé, Vincent; Huybrechs, Daan
4
2020
Bounds for \(L_p\)-discrepancies of point distributions in compact metric measure spaces. Zbl 1477.11131
Skriganov, M. M.
4
2020
Quadrature points via heat kernel repulsion. Zbl 1447.41013
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan
3
2020
Sharp Remez inequality. Zbl 1456.41002
Tikhonov, S.; Yuditskii, P.
3
2020
Conditionally positive definite matrix valued kernels on Euclidean spaces. Zbl 1444.42010
Guella, J. C.; Menegatto, V. A.
3
2020
Morrey sequence spaces: Pitt’s theorem and compact embeddings. Zbl 1454.46037
Haroske, Dorothee D.; Skrzypczak, Leszek
3
2020
Five point energy minimization: a synopsis. Zbl 1435.31010
Schwartz, Richard Evan
3
2020
Zeros of Faber polynomials for Joukowski airfoils. Zbl 1451.30017
Levenberg, N.; Wielonsky, F.
2
2020
An extension of Laplace’s method. Zbl 1436.41019
Nemes, Gergő
2
2020
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Cited by 9,168 Authors

93 Lubinsky, Doron S.
70 Saff, Edward Barry
62 Chand, Arya Kumar Bedabrata
62 Temlyakov, Vladimir Nikolaevich
58 Zhou, Dingxuan
55 Marcellán Español, Francisco
51 López Lagomasino, Guillermo Tomás
51 Van Assche, Walter
49 Mazure, Marie-Laurence
49 Navascués, María Antonia
47 Dyn, Nira
47 Xu, Yuan
42 Durán, Antonio José
42 Leviatan, Dany
41 Dai, Feng
40 Kuijlaars, Arno B. J.
38 Totik, Vilmos
37 Amat Plata, Sergio
37 Viswanathan, Puthan Veedu
36 Praetorius, Dirk
36 Schwab, Christoph
36 Ullrich, Tino
35 Andrievskii, Vladimir V.
35 Chui, Charles Kam-tai
35 Han, Bin
35 Jørgensen, Palle E. T.
35 Romani, Lucia
35 Sun, Qiyu
34 Mastroianni, Giuseppe
34 Shen, Zuowei
33 Cohen, Albert
33 Kutyniok, Gitta
33 Li, Song
33 Martínez-Finkelshtein, Andrei
33 Speleers, Hendrik
33 Ward, Joseph Dinneen
32 Manni, Carla
31 Dahmen, Wolfgang A.
31 Ismail, Mourad El-Houssieny
31 Menegatto, Valdir Antonio
31 Tikhonov, Sergey Yur’evich
31 Wang, Heping
30 Conti, Costanza
30 Mhaskar, Hrushikesh N.
29 Aptekarev, Alexander Ivanovich
29 DeVore, Ronald A.
29 Guo, Victor J. W.
29 Jia, Rong-Qing
29 Kroó, András
29 Mustafa, Ghulam
29 Ron, Amos
29 Yang, Dachun
28 Bultheel, Adhemar François
28 Chen, Dirong
27 Gröchenig, Karlheinz
27 Lin, Shaobo
27 Sickel, Winfried
27 Simon, Barry
27 Yoon, Jungho
26 González-Vera, Pablo
26 Grohs, Philipp
26 Khoromskiĭ, Boris Nikolaevich
26 Li, Yunzhang
26 Orive Rodríguez, Ramón Angel
26 Sauer, Tomas
26 Trillo, Juan Carlos
26 Vinet, Luc
25 Dragnev, Peter D.
25 Lai, Mingjun
25 Porcu, Emilio
24 Chu, Yuming
24 Erdélyi, Tamás
24 Qian, Tao
24 Schaback, Robert
23 Ansorena, José Luis
23 Carnicer, Jésus Miguel
23 Goldman, Ronald N.
23 Griebel, Michael
23 Petrushev, Pencho P.
23 Wu, Zongmin
22 Abdullayev, Fahreddin G.
22 Baratchart, Laurent
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 Sun, Wenchang
21 Bertola, Marco
21 Blatt, Hans-Peter
21 Branquinho, Amílcar José Pinto Lopes
21 Cao, Feilong
21 Chen, Yang
21 Dinh Dũng
21 Ganzburg, Michael Iosifovich
21 Massopust, Peter R.
21 Njåstad, Olav
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Cited in 726 Journals

893 Journal of Approximation Theory
496 Journal of Computational and Applied Mathematics
439 Constructive Approximation
411 Journal of Mathematical Analysis and Applications
333 Applied and Computational Harmonic Analysis
196 Advances in Computational Mathematics
178 The Journal of Fourier Analysis and Applications
175 Applied Mathematics and Computation
167 Computer Aided Geometric Design
147 Proceedings of the American Mathematical Society
147 Journal of Complexity
144 Numerical Algorithms
136 Mathematics of Computation
132 Computers & Mathematics with Applications
115 Numerische Mathematik
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106 International Journal of Wavelets, Multiresolution and Information Processing
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92 Transactions of the American Mathematical Society
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67 Numerical Functional Analysis and Optimization
64 Integral Transforms and Special Functions
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59 Communications in Mathematical Physics
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56 Acta Mathematica Sinica. English Series
56 Proceedings of the Steklov Institute of Mathematics
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52 Journal d’Analyse Mathématique
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51 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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31 Complex Variables and Elliptic Equations
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