# zbMATH — the first resource for mathematics

## 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: http://link.springer.com/journal/volumesAndIssues/365 Comments: Indexed cover-to-cover
 Documents Indexed: 1,206 Publications (since 1985) References Indexed: 857 Publications with 18,494 References.
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#### Latest Issues

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#### Authors

 28 Lubinsky, Doron S. 19 Saff, Edward Barry 18 DeVore, Ronald A. 18 Totik, Vilmos 16 Andrievskii, Vladimir V. 16 Temlyakov, Vladimir Nikolaevich 13 López Lagomasino, Guillermo Tomás 12 Borwein, Peter Benjamin 12 Erdélyi, Tamás 12 Xu, Yuan 11 Petrushev, Pencho P. 11 Van Assche, Walter 10 Dahmen, Wolfgang A. 10 Dai, Feng 10 Leviatan, Dany 10 Ron, Amos 10 Stahl, Herbert Robert 9 Ditzian, Zeev 9 Dyn, Nira 9 Ismail, Mourad El-Houssieny 9 Micchelli, Charles A. 9 Nevai, Paul G. 9 Schumaker, Larry L. 9 Shekhtman, Boris 9 Ward, Joseph Dinneen 8 Geronimo, Jeffrey S. 8 Kroó, András 8 Kuijlaars, Arno B. J. 8 Ruscheweyh, Stephan 7 Bloom, Thomas 7 Cohen, Albert 7 de Boor, Carl 7 Duran, Antonio J. 7 Goodman, Timothy N. T. 7 Kerkyacharian, Gérard 7 Koelink, Erik 7 Levenberg, Norman jun. 7 Mazure, Marie-Laurence 7 Peherstorfer, Franz 7 Wielonsky, Franck 6 Baratchart, Laurent 6 Beckermann, Bernhard 6 Blatt, Hans-Peter 6 Daubechies, Ingrid Chantal 6 Dubuc, Serge 6 Gröchenig, Karlheinz 6 Hardin, Douglas P. 6 Ivanov, Kamen G. 6 Johnson, Michael James 6 Levin, A. L. 6 Nürnberger, Günther 6 Picard, Dominique B. 6 Stylianopoulos, Nikos S. 6 Szwarc, Ryszard 6 Varga, Richard Steven 6 Wojtaszczyk, Przemyslaw 5 Bertola, Marco 5 Bos, Len P. 5 Christiansen, Jacob Stordal 5 Chui, Charles Kam-tai 5 Griebel, Michael 5 Kopotun, Kirill A. 5 Li, Zhongkai 5 Lyche, Tom 5 Maiorov, Vitaly Evgen’evich 5 Martínez-Finkelshtein, Andrei 5 Máté, Attila 5 Mhaskar, Hrushikesh N. 5 Pinkus, Allan M. 5 Scherer, Karl 5 Shevchuk, Igor A. 5 Simon, Barry 5 Ullrich, Tino 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 Dombrowski, Joanne 4 Forrester, Peter J. 4 Gaier, Dieter 4 Ganzburg, Michael Iosifovich 4 Gardiner, Stephen J. 4 Littmann, Friedrich 4 Marcellán Español, Francisco 4 McLaughlin, Kenneth D. T.-R. 4 Müller, Jürgen 4 Novak, Erich 4 Nuttall, John 4 Oswald, Peter 4 Petrova, Guergana 4 Pritsker, Igor E. 4 Riemenschneider, Sherman D. 4 Sendov, Blagovest Khristov 4 Shen, Zuowei 4 Sickel, Winfried 4 Stevenson, Rob P. 4 Strichartz, Robert S. ...and 1,129 more Authors
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#### Fields

 687 Approximations and expansions (41-XX) 342 Harmonic analysis on Euclidean spaces (42-XX) 244 Functions of a complex variable (30-XX) 209 Numerical analysis (65-XX) 163 Special functions (33-XX) 112 Functional analysis (46-XX) 79 Operator theory (47-XX) 65 Real functions (26-XX) 55 Potential theory (31-XX) 55 Probability theory and stochastic processes (60-XX) 49 Ordinary differential equations (34-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 35 Computer science (68-XX) 35 Information and communication theory, circuits (94-XX) 33 Number theory (11-XX) 32 Measure and integration (28-XX) 28 Partial differential equations (35-XX) 26 Integral transforms, operational calculus (44-XX) 25 Difference and functional equations (39-XX) 23 Statistics (62-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Abstract harmonic analysis (43-XX) 18 Convex and discrete geometry (52-XX) 17 Combinatorics (05-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Sequences, series, summability (40-XX) 14 Quantum theory (81-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Algebraic geometry (14-XX) 9 Operations research, mathematical programming (90-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 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 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) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

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Simple cubature formulas with high polynomial exactness. Zbl 0942.41018
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Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004
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Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018
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Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012
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Generalized shift-invariant systems. Zbl 1080.42025
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Construction of compactly supported shearlet frames. Zbl 1239.42031
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Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018
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2009
Chebyshev spaces and Bernstein bases. Zbl 1116.41006
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2005
Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. Zbl 1117.15025
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2007
A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024
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1988
Moduli of smoothness and $$K$$-functionals in $$L_ p$$, $$0<p<1$$. Zbl 0822.46031
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1995
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011
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1989
On classical orthogonal polynomials. Zbl 0837.33010
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1995
Hyperbolic wavelet approximation. Zbl 0895.41016
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1998
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
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A boundedness criterion via atoms for linear operators in Hardy spaces. Zbl 1283.42029
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2009
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
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2008
Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023
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1987
Constrained $$L_ p$$ approximation. Zbl 0582.41002
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On 2D newest vertex bisection: optimality of mesh-closure and $$H ^{1}$$-stability of $$L _{2}$$-projection. Zbl 1302.65267
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2013
Greedy algorithm and $$m$$-term trigonometric approximation. Zbl 0931.42002
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1998
Optimized tensor-product approximation spaces. Zbl 0969.65107
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Tight frames and their symmetries. Zbl 1059.42026
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An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313
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1986
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1992
Wavelets and self-affine tilings. Zbl 0813.42021
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1993
The genetic sums’ representation for the moments of a system of Stieltjes functions and its application. Zbl 0966.41009
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2000
Symmetric framelets. Zbl 1037.42038
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2003
Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014
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2013
Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017
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2004
Convexity preserving interpolatory subdivision schemes. Zbl 0918.41002
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1998
Restricted nonlinear approximation. Zbl 0947.41006
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2000
Order of linear approximation from shift-invariant spaces. Zbl 0840.41025
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1995
Approximation by radial basis functions with finitely many centers. Zbl 0855.41011
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1996
Approximation by $$p$$-Faber polynomials in the weighted Smirnov class $$E^p(G,\omega)$$ and the Bieberbach polynomials. Zbl 0987.41016
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2001
On trigonometric wavelets. Zbl 0780.42020
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1993
Nikishin systems are perfect. Zbl 1258.30015
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2011
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
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2017
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
Regularity of multivariate refinable functions. Zbl 0937.42017
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1999
Constrained interpolation and smoothing. Zbl 0596.41012
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1986
Exponential box splines. Zbl 0674.41005
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1988
Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016
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1997
A special class of polynomials orthogonal on the unit circle including the associated polynomials. Zbl 0854.42021
Peherstorfer, F.
1996
Analysis of the intrinsic mode functions. Zbl 1100.94006
Sharpley, Robert C.; Vatchev, Vesselin
2006
Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. Zbl 1210.41010
Gröchenig, Karlheinz; Klotz, Andreas
2010
On existence and weak stability of matrix refinable functions. Zbl 0932.42028
Jiang, Qingtang; Shen, Zuowei
1999
Regularity of irregular subdivision. Zbl 0957.42022
Daubechies, I.; Guskov, I.; Sweldens, W.
1999
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2004
On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010
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1995
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
Constructive representation of functions in low-rank tensor formats. Zbl 1282.15021
Oseledets, I. V.
2013
Lagrange interpolation in weighted Besov spaces. Zbl 0926.41001
Mastroianni, G.; Russo, M. G.
1999
Localized polynomial frames on the ball. Zbl 1213.42153
Petrushev, Pencho; Xu, Yuan
2008
An adaptive compression algorithm in Besov spaces. Zbl 1004.41006
Birgé, L.; Massart, P.
2000
An $$n$$-dimensional Clough-Tocher interpolant. Zbl 0631.41003
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1987
Asymptotics of polynomials orthogonal with respect to varying measures. Zbl 0669.42012
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1989
Constrained best approximation in Hilbert space. Zbl 0682.41034
Chui, Charles K.; Deutsch, Frank; Ward, Joseph D.
1990
Normal multiresolution approximation of curves. Zbl 1051.42025
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2004
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
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2001
Jackson and smoothness theorems for Freud weights in $$L_ p (0<p\leq\infty)$$. Zbl 0867.41010
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1997
Wiener’s lemma for infinite matrices. II. Zbl 1253.46057
Sun, Qiyu
2011
Tensor-structured preconditioners and approximate inverse of elliptic operators in $$\mathbb R^{d}$$. Zbl 1185.65051
Khoromskij, Boris N.
2009
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
Approximation of mixed order Sobolev functions on the $$d$$-torus: asymptotics, preasymptotics, and $$d$$-dependence. Zbl 06521326
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2015
Pointwise estimates for monotone polynomial approximation. Zbl 0583.41006
DeVore, Ronald A.; Yu, Xiang Ming
1985
Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014
Novak, Erich; Triebel, Hans
2006
Some $$q$$-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
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
Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
2021
Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel. Zbl 07333931
Breuer, Jonathan
2021
Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex. Zbl 1447.35166
Kerkyacharian, Gerard; Petrushev, Pencho; Xu, Yuan
2020
Rational solutions of the Painlevé-III equation: large parameter asymptotics. Zbl 1435.34093
Bothner, Thomas; Miller, Peter D.
2020
A discrete realization of the higher rank Racah algebra. Zbl 1444.81019
De Bie, Hendrik; van de Vijver, Wouter
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
Quadrature points via heat kernel repulsion. Zbl 1447.41013
Lu, Jianfeng; Sachs, Matthias; Steinerberger, Stefan
2020
Szegő condition and scattering for one-dimensional Dirac operators. Zbl 07184300
Bessonov, R. V.
2020
Five point energy minimization: a synopsis. Zbl 1435.31010
Schwartz, Richard Evan
2020
Intertwining operators associated with dihedral groups. Zbl 1455.33008
Xu, Yuan
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
Weighted norm inequalities for fractional Bergman operators. Zbl 07149344
Sehba, Benoît F.
2020
Fejér polynomials and control of nonlinear discrete systems. Zbl 1436.93102
Dmitrishin, D.; Hagelstein, P.; Khamitova, A.; Korenovskyi, A.; Stokolos, A.
2020
Bounds for $$L_p$$-discrepancies of point distributions in compact metric measure spaces. Zbl 07184305
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
On accumulated Cohen’s class distributions and mixed-state localization operators. Zbl 1444.81024
Luef, Franz; Skrettingland, Eirik
2020
Minimal soft lattice theta functions. Zbl 1445.74020
Bétermin, Laurent
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
Hyperuniform point sets on the sphere: deterministic aspects. Zbl 1437.11111
Brauchart, Johann S.; Grabner, Peter J.; Kusner, Wöden
2019
Conditional quasi-greedy bases in non-superreflexive Banach spaces. Zbl 06999347
Albiac, Fernando; Ansorena, José L.; Wojtaszczyk, Przemysław
2019
Pluripotential numerics. Zbl 1416.65077
Piazzon, Federico
2019
Computing a quantity of interest from observational data. Zbl 1414.41019
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw
2019
Optimal spline spaces for $$L^2\ n$$-width problems with boundary conditions. Zbl 1416.41007
Floater, Michael S.; Sande, Espen
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
Cesàro means of subsequences of partial sums of trigonometric Fourier series. Zbl 1431.42005
Gát, György
2019
Solutions of complex differential equation having pre-given zeros in the unit disc. Zbl 1417.34209
Gröhn, Janne
2019
Appell hypergeometric expansions of the solutions of the general Heun equation. Zbl 1414.33025
Ishkhanyan, A. M.
2019
On generalized Stieltjes functions. Zbl 1414.26020
Koumandos, Stamatis; Pedersen, Henrik L.
2019
On the Totik-Widom property for a quasidisk. Zbl 1435.30005
Andrievskii, V.; Nazarov, F.
2019
Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics. Zbl 1429.41009
Ganzburg, Michael I.
2019
On the Markov inequality in the $$L_2$$-norm with the Gegenbauer weight. Zbl 1443.41008
2019
Ambient approximation on hypersurfaces. Zbl 1407.41006
Lehmann, N.; Maier, L.-B.; Odathuparambil, S.; Reif, U.
2019
Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum. Zbl 1416.15022
Shapiro, Boris; Štampach, František
2019
Elastic splines. II. Unicity of optimal s-curves and curvature continuity. Zbl 1416.41006
Borbély, Albert; Johnson, Michael J.
2019
Level-dependent interpolatory Hermite subdivision schemes and wavelets. Zbl 07103916
Cotronei, Mariantonia; Moosmüller, Caroline; Sauer, Tomas; Sissouno, Nada
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
On uniform convergence of diagonal multipoint Padé approximants for entire functions. Zbl 1407.41008
Lubinsky, D. S.
2019
Optimal Monte Carlo methods for $$L^2$$-approximation. Zbl 07036368
Krieg, David
2019
On Mahler’s transcendence measure for $$e$$. Zbl 1435.11095
Ernvall-Hytönen, Anne-Maria; Matala-aho, Tapani; Seppälä, Louna
2019
Generic behavior of classes of Taylor series outside the unit disk. Zbl 1441.30088
Costakis, George; Jung, Andreas; Müller, Jürgen
2019
Formal duality in finite cyclic groups. Zbl 1415.43004
Malikiosis, Romanos Diogenes
2019
Universal locally univalent functions and universal conformal metrics with constant curvature. Zbl 1435.30120
Pohl, Daniel; Roth, Oliver
2019
Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements. Zbl 1431.41008
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
Strict s-numbers of non-compact Sobolev embeddings into continuous functions. Zbl 07103913
Lang, Jan; Musil, Vít
2019
Asymptotic evaluations for some sequences of positive linear operators. Zbl 1428.41029
Popa, Dumitru
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
Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere. Zbl 1391.82002
Bétermin, Laurent; Sandier, Etienne
2018
The Stolarsky principle and energy optimization on the sphere. Zbl 1426.11075
Bilyk, Dmitriy; Dai, Feng; Matzke, Ryan
2018
The Marcinkiewicz-type discretization theorems. Zbl 1404.41012
Temlyakov, V. N.
2018
Distributed kernel-based gradient descent algorithms. Zbl 1390.68542
Lin, Shao-Bo; Zhou, Ding-Xuan
2018
Equidistribution of jellium energy for Coulomb and Riesz interactions. Zbl 1391.82003
Petrache, Mircea; Rota Nodari, Simona
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
On large deviations for Gibbs measures, mean energy and gamma-convergence. Zbl 1398.82034
Berman, Robert J.
2018
Subdivision and spline spaces. Zbl 1391.41004
Schenck, Hal; Sorokina, Tatyana
2018
On bulk singularities in the random normal matrix model. Zbl 1436.60017
Ameur, Yacin; Seo, Seong-Mi
2018
Polynomial ensembles and recurrence coefficients. Zbl 1409.60024
2018
Regularity of Gaussian processes on Dirichlet spaces. Zbl 1390.58022
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique
2018
Expected Riesz energy of some determinantal processes on flat tori. Zbl 1390.31004
Marzo, Jordi; Ortega-Cerdà, Joaquim
2018
Domain wall six-vertex model with half-turn symmetry. Zbl 1391.82007
Bleher, Pavel; Liechty, Karl
2018
Large deviation principles for hypersingular Riesz gases. Zbl 1398.82044
Hardin, Douglas P.; Leblé, Thomas; Saff, Edward B.; Serfaty, Sylvia
2018
The projective ensemble and distribution of points in odd-dimensional spheres. Zbl 1400.31008
Beltrán, Carlos; Etayo, Ujué
2018
Spectral properties of block Jacobi matrices. Zbl 1417.47010
Świderski, Grzegorz
2018
Approximation by proper holomorphic maps and tropical power series. Zbl 1402.30026
Abakumov, Evgeny; Doubtsov, Evgueni
2018
Approximation and entropy numbers of embeddings between approximation spaces. Zbl 1396.41027
Cobos, Fernando; Domínguez, Óscar; Kühn, Thomas
2018
Singular values for products of two coupled random matrices: hard edge phase transition. Zbl 1429.60013
Liu, Dang-Zheng
2018
Improved lower bound for the Mahler measure of the Fekete polynomials. Zbl 1457.11144
Erdélyi, Tamás
2018
Meromorphic solutions of algebraic difference equations. Zbl 1402.39008
Ishizaki, Katsuya; Korhonen, Risto
2018
Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space. Zbl 1439.32012
Liu, Congwen
2018
Stochastic subspace correction in Hilbert space. Zbl 1416.65084
Griebel, Michael; Oswald, Peter
2018
Bergman orthogonal polynomials and the Grunsky matrix. Zbl 1397.30005
Beckermann, Bernhard; Stylianopoulos, Nikos
2018
Metric entropy of classes of sets with positive reach. Zbl 1393.52011
Cockreham, James; Gao, Fuchang
2018
Observations on interpolation by total degree polynomials in two variables. Zbl 1396.41003
Carnicer, Jesús; Sauer, Tomas
2018
Convergences of alternating projections in $$\mathrm{CAT}(\kappa)$$ spaces. Zbl 1390.90572
Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo
2018
Quantum ergodic sequences and equilibrium measures. Zbl 1384.58026
Zelditch, Steve
2018
A large deviation principle for weighted Riesz interactions. Zbl 1396.31003
Bloom, Tom; Levenberg, Norman; Wielonsky, Franck
2018
Point processes, hole events, and large deviations: random complex zeros and Coulomb gases. Zbl 1409.60079
Ghosh, Subhroshekhar; Nishry, Alon
2018
Vector orthogonal polynomials with Bochner’s property. Zbl 1423.33024
Horozov, Emil
2018
An algebra model for the higher-order sum rules. Zbl 1416.42034
Yan, Jun
2018
On the instability of the essential spectrum for block Jacobi matrices. Zbl 1417.47009
Kupin, S.; Naboko, S.
2018
Extremal signatures. Zbl 1394.30024
Littmann, Friedrich; Spanier, Mark
2018
Rahman’s biorthogonal rational functions and superconformal indices. Zbl 1416.33024
Rosengren, Hjalmar
2018
From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004
Berg, Christian; Porcu, Emilio
2017
Change of variable in spaces of mixed smoothness and numerical integration of multivariate functions on the unit cube. Zbl 1376.65028
Nguyen, Van Kien; Ullrich, Mario; Ullrich, Tino
2017
On sharp constants in Bernstein-Nikolskii inequalities. Zbl 1370.41023
Ganzburg, Michael I.; Tikhonov, Sergey Yu.
2017
Infinite-dimensional $$\ell ^1$$ minimization and function approximation from pointwise data. Zbl 1367.41012
2017
Fractional Laplace operator and Meijer G-function. Zbl 1365.35204
Dyda, Bartłomiej; Kuznetsov, Alexey; Kwaśnicki, Mateusz
2017
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
2017
Lower bounds for Haar projections: deterministic examples. Zbl 1386.46037
Seeger, Andreas; Ullrich, Tino
2017
Matrix-valued Gegenbauer-type polynomials. Zbl 1384.33025
Koelink, Erik; de los Ríos, Ana M.; Román, Pablo
2017
Complex interpolation of smoothness Morrey subspaces. Zbl 1385.42023
Hakim, Denny Ivanal; Nakamura, Shohei; Sawano, Yoshihiro
2017
Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means. Zbl 1373.42012
Fan, Dashan; Zhao, Fayou
2017
Constructive sparse trigonometric approximation for functions with small mixed smoothness. Zbl 1373.42009
Temlyakov, V.
2017
Derivation of a $$BC_n$$ elliptic summation formula via the fundamental invariants. Zbl 1366.33014
Ito, Masahiko; Noumi, Masatoshi
2017
Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension. Zbl 1371.41004
Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio
2017
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#### Cited by 7,162 Authors

 86 Lubinsky, Doron S. 65 Saff, Edward Barry 55 Marcellán Español, Francisco 51 Zhou, Dingxuan 48 Mazure, Marie-Laurence 48 Van Assche, Walter 47 López Lagomasino, Guillermo Tomás 47 Temlyakov, Vladimir Nikolaevich 44 Chand, Arya Kumar Bedabrata 41 Dyn, Nira 38 Duran, Antonio J. 37 Leviatan, Dany 37 Navascués, María Antonia 35 Kuijlaars, Arno B. J. 35 Totik, Vilmos 34 Andrievskii, Vladimir V. 34 Dai, Feng 34 Han, Bin 34 Mastroianni, Giuseppe 33 Chui, Charles Kam-tai 33 Sun, Qiyu 33 Ward, Joseph Dinneen 31 Amat, Sergio P. 31 Martínez-Finkelshtein, Andrei 31 Romani, Lucia 31 Shen, Zuowei 31 Wu, Zongmin 31 Xu, Yuan 30 Ismail, Mourad El-Houssieny 30 Mhaskar, Hrushikesh N. 29 Li, Song 29 Ron, Amos 29 Viswanathan, Puthan Veedu 28 Conti, Costanza 27 Bultheel, Adhemar François 27 Chen, Dirong 27 Jørgensen, Palle E. T. 27 Praetorius, Dirk 26 Aptekarev, Alexander Ivanovich 26 Dahmen, Wolfgang A. 26 González-Vera, Pablo 26 Kutyniok, Gitta 26 Menegatto, Valdir Antonio 26 Mustafa, Ghulam 26 Tikhonov, Sergey Yur’evich 25 DeVore, Ronald A. 25 Manni, Carla 25 Wang, Heping 24 Simon, Barry 24 Ullrich, Tino 23 Cohen, Albert 23 Khoromskij, Boris N. 23 Lai, Mingjun 23 Orive Rodríguez, Ramón Angel 23 Schwab, Christoph 23 Sickel, Winfried 23 Speleers, Hendrik 23 Yoon, Jungho 22 Baratchart, Laurent 22 Carnicer, Jésus Miguel 22 Ditzian, Zeev 22 Gröchenig, Karlheinz 22 Jiang, Qingtang 22 Lin, Shaobo 22 Sun, Wenchang 21 Kopotun, Kirill A. 21 Njåstad, Olav 21 Petrushev, Pencho P. 21 Schumaker, Larry L. 21 Trillo, Juan Carlos 21 Yang, Dachun 21 Yang, Shouzhi 20 Blatt, Hans-Peter 20 Buhmann, Martin Dietrich 20 Cao, Feilong 20 Dragnev, Peter D. 20 Erdélyi, Tamás 20 Kroó, András 20 Li, Yunzhang 20 Narcowich, Francis J. 20 Nevai, Paul G. 20 Peherstorfer, Franz 20 Qian, Tao 20 Stahl, Herbert Robert 20 Sun, Hongwei 19 Dahlke, Stephan 19 Griebel, Michael 19 Grohs, Philipp 19 Wong, Roderick Sue-Chuen 18 Pritsker, Igor E. 17 Bertola, Marco 17 Bownik, Marcin 17 Dilworth, Stephen J. 17 Dinh Dũng 17 Ganzburg, Michael Iosifovich 17 Geronimo, Jeffrey S. 17 Hackbusch, Wolfgang 17 Leblond, Juliette 17 Liandrat, Jacques 17 Micchelli, Charles A. ...and 7,062 more Authors
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#### Cited in 610 Journals

 836 Journal of Approximation Theory 467 Journal of Computational and Applied Mathematics 373 Constructive Approximation 354 Journal of Mathematical Analysis and Applications 293 Applied and Computational Harmonic Analysis 180 Advances in Computational Mathematics 157 Applied Mathematics and Computation 157 Computer Aided Geometric Design 157 The Journal of Fourier Analysis and Applications 124 Mathematics of Computation 123 Proceedings of the American Mathematical Society 123 Journal of Complexity 123 Numerical Algorithms 121 Computers & Mathematics with Applications 103 Numerische Mathematik 99 Linear Algebra and its Applications 88 International Journal of Wavelets, Multiresolution and Information Processing 85 Computational Methods and Function Theory 84 Transactions of the American Mathematical Society 81 Journal of Computational Physics 77 Advances in Mathematics 72 Journal of Functional Analysis 69 Engineering Analysis with Boundary Elements 67 Computer Methods in Applied Mechanics and Engineering 65 Applied Numerical Mathematics 63 Numerical Functional Analysis and Optimization 57 Results in Mathematics 54 Foundations of Computational Mathematics 53 Acta Mathematica Sinica. English Series 52 SIAM Journal on Scientific Computing 52 Integral Transforms and Special Functions 51 Fractals 49 Communications in Mathematical Physics 49 Journal d’Analyse Mathématique 49 Acta Mathematica Hungarica 49 Analysis and Applications (Singapore) 48 Mathematical Notes 48 Rocky Mountain Journal of Mathematics 44 Journal of Scientific Computing 44 Proceedings of the Steklov Institute of Mathematics 43 BIT 43 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 42 Journal of Mathematical Physics 39 Science China. Mathematics 38 Mathematische Nachrichten 38 Abstract and Applied Analysis 35 Applied Mathematics Letters 34 Journal of Mathematical Sciences (New York) 34 The Ramanujan Journal 33 Ukrainian Mathematical Journal 33 SIAM Journal on Numerical Analysis 32 Mediterranean Journal of Mathematics 30 Acta Applicandae Mathematicae 30 Journal of Inequalities and Applications 29 Chaos, Solitons and Fractals 28 Calcolo 28 Indagationes Mathematicae. New Series 28 Complex Variables and Elliptic Equations 27 Applicable Analysis 27 The Annals of Statistics 27 Integral Equations and Operator Theory 27 Advances in Applied Mathematics 27 Applied Mathematics. Series B (English Edition) 26 Complex Analysis and Operator Theory 25 Mathematics and Computers in Simulation 25 Neural Computation 25 Electronic Journal of Statistics 24 Monatshefte für Mathematik 23 International Journal of Computer Mathematics 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Analysis and Mathematical Physics 22 Mathematical Problems in Engineering 21 Journal of Difference Equations and Applications 20 Journal of Statistical Physics 20 Potential Analysis 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 SIAM Journal on Mathematical Analysis 19 Sbornik: Mathematics 18 Israel Journal of Mathematics 18 Computing 18 Mathematische Zeitschrift 18 SIAM Journal on Matrix Analysis and Applications 18 Bernoulli 18 SIAM/ASA Journal on Uncertainty Quantification 17 Analysis Mathematica 17 Journal of Multivariate Analysis 17 The Journal of Geometric Analysis 17 Applied Mathematical Modelling 17 Journal of Machine Learning Research (JMLR) 17 Analysis in Theory and Applications 16 Mathematical Methods in the Applied Sciences 16 Journal of Statistical Planning and Inference 16 Physica D 15 Bulletin of the Australian Mathematical Society 15 Duke Mathematical Journal 15 International Journal for Numerical Methods in Engineering 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Mathematical and Computer Modelling 15 Neural Networks 15 Mathematical Programming. Series A. Series B ...and 510 more Journals
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#### Cited in 62 Fields

 2,848 Approximations and expansions (41-XX) 2,541 Numerical analysis (65-XX) 2,224 Harmonic analysis on Euclidean spaces (42-XX) 1,035 Special functions (33-XX) 827 Functions of a complex variable (30-XX) 699 Functional analysis (46-XX) 552 Operator theory (47-XX) 537 Information and communication theory, circuits (94-XX) 521 Partial differential equations (35-XX) 479 Computer science (68-XX) 448 Probability theory and stochastic processes (60-XX) 438 Statistics (62-XX) 425 Measure and integration (28-XX) 363 Linear and multilinear algebra; matrix theory (15-XX) 330 Real functions (26-XX) 229 Ordinary differential equations (34-XX) 210 Number theory (11-XX) 191 Potential theory (31-XX) 188 Dynamical systems and ergodic theory (37-XX) 176 Operations research, mathematical programming (90-XX) 159 Combinatorics (05-XX) 151 Difference and functional equations (39-XX) 125 Abstract harmonic analysis (43-XX) 122 Quantum theory (81-XX) 117 Fluid mechanics (76-XX) 116 Statistical mechanics, structure of matter (82-XX) 99 Integral transforms, operational calculus (44-XX) 98 Integral equations (45-XX) 94 Convex and discrete geometry (52-XX) 91 Several complex variables and analytic spaces (32-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 84 Systems theory; control (93-XX) 77 Mechanics of deformable solids (74-XX) 57 Sequences, series, summability (40-XX) 57 Biology and other natural sciences (92-XX) 47 Global analysis, analysis on manifolds (58-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Topological groups, Lie groups (22-XX) 40 Commutative algebra (13-XX) 35 Algebraic geometry (14-XX) 35 Differential geometry (53-XX) 32 Geophysics (86-XX) 30 Group theory and generalizations (20-XX) 29 General topology (54-XX) 26 Nonassociative rings and algebras (17-XX) 21 History and biography (01-XX) 21 Geometry (51-XX) 20 Optics, electromagnetic theory (78-XX) 15 Mechanics of particles and systems (70-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Field theory and polynomials (12-XX) 14 Associative rings and algebras (16-XX) 13 General and overarching topics; collections (00-XX) 10 Manifolds and cell complexes (57-XX) 6 Mathematical logic and foundations (03-XX) 6 Algebraic topology (55-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 $$K$$-theory (19-XX)