Constructive ApproximationAn 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: 1,303 Publications (since 1985) References Indexed: 950 Publications with 21,643 References. all top 5 Latest Issues 58, No. 1 (2023) 57, No. 3 (2023) 57, No. 2 (2023) 57, No. 1 (2023) 56, No. 3 (2022) 56, No. 2 (2022) 56, No. 1 (2022) 55, No. 3 (2022) 55, No. 2 (2022) 55, No. 1 (2022) 54, No. 3 (2021) 54, No. 2 (2021) 54, No. 1 (2021) 53, No. 3 (2021) 53, No. 2 (2021) 53, No. 1 (2021) 52, No. 3 (2020) 52, No. 2 (2020) 52, No. 1 (2020) 51, No. 3 (2020) 51, No. 2 (2020) 51, No. 1 (2020) 50, No. 3 (2019) 50, No. 2 (2019) 50, No. 1 (2019) 49, No. 3 (2019) 49, No. 2 (2019) 49, No. 1 (2019) 48, No. 3 (2018) 48, No. 2 (2018) 48, No. 1 (2018) 47, No. 3 (2018) 47, No. 2 (2018) 47, No. 1 (2018) 46, No. 3 (2017) 46, No. 2 (2017) 46, No. 1 (2017) 45, No. 3 (2017) 45, No. 2 (2017) 45, No. 1 (2017) 44, No. 3 (2016) 44, No. 2 (2016) 44, No. 1 (2016) 43, No. 3 (2016) 43, No. 2 (2016) 43, No. 1 (2016) 42, No. 3 (2015) 42, No. 2 (2015) 42, No. 1 (2015) 41, No. 3 (2015) 41, No. 2 (2015) 41, No. 1 (2015) 40, No. 3 (2014) 40, No. 2 (2014) 40, No. 1 (2014) 39, No. 3 (2014) 39, No. 2 (2014) 39, No. 1 (2014) 38, No. 3 (2013) 38, No. 2 (2013) 38, No. 1 (2013) 37, No. 3 (2013) 37, No. 2 (2013) 37, No. 1 (2013) 36, No. 3 (2012) 36, No. 2 (2012) 36, No. 1 (2012) 35, No. 3 (2012) 35, No. 2 (2012) 35, No. 1 (2012) 34, No. 3 (2011) 34, No. 2 (2011) 34, No. 1 (2011) 33, No. 3 (2011) 33, No. 2 (2011) 33, No. 1 (2011) 32, No. 3 (2010) 32, No. 2 (2010) 32, No. 1 (2010) 31, No. 3 (2010) 31, No. 2 (2010) 31, No. 1 (2010) 30, No. 3 (2009) 30, No. 2 (2009) 30, No. 1 (2009) 29, No. 3 (2009) 29, No. 2 (2009) 29, No. 1 (2009) 28, No. 3 (2008) 28, No. 2 (2008) 28, No. 1 (2008) 27, No. 3 (2008) 27, No. 2 (2008) 27, No. 1 (2008) 26, No. 3 (2007) 26, No. 2 (2007) 26, No. 1 (2007) 25, No. 3 (2007) 25, No. 2 (2007) 25, No. 1 (2007) ...and 80 more Volumes all top 5 Authors 28 Lubinsky, Doron S. 22 Saff, Edward Barry 20 DeVore, Ronald A. 19 Temlyakov, Vladimir Nikolaevich 18 Totik, Vilmos 16 Andrievskii, Vladimir V. 14 López Lagomasino, Guillermo Tomás 13 Erdélyi, Tamás 13 Petrushev, Pencho P. 12 Borwein, Peter Benjamin 12 Xu, Yuan 11 Dahmen, Wolfgang A. 11 Dai, Feng 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 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 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 Martínez-Finkelshtein, Andrei 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 Berg, Christian 4 Berná, Pablo Manuel 4 Boyanov, Borislav Dechev 4 Braess, Dietrich 4 Davydov, Oleg V. 4 de la Calle Ysern, Bernardo 4 Gaier, Dieter 4 Gardiner, Stephen J. 4 Gribonval, Rémi 4 Grohs, Philipp 4 Littmann, Friedrich 4 Marcellán Español, Francisco ...and 1,252 more Authors all top 5 Fields 735 Approximations and expansions (41-XX) 368 Harmonic analysis on Euclidean spaces (42-XX) 257 Functions of a complex variable (30-XX) 231 Numerical analysis (65-XX) 177 Special functions (33-XX) 125 Functional analysis (46-XX) 86 Operator theory (47-XX) 70 Real functions (26-XX) 59 Potential theory (31-XX) 57 Probability theory and stochastic processes (60-XX) 55 Computer science (68-XX) 53 Ordinary differential equations (34-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 41 Information and communication theory, circuits (94-XX) 40 Number theory (11-XX) 33 Measure and integration (28-XX) 33 Partial differential equations (35-XX) 29 Difference and functional equations (39-XX) 29 Statistics (62-XX) 26 Integral transforms, operational calculus (44-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Abstract harmonic analysis (43-XX) 19 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Combinatorics (05-XX) 16 Sequences, series, summability (40-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Quantum theory (81-XX) 14 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) 8 General topology (54-XX) 7 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,151 Publications have been cited 14,328 times in 10,325 Documents Cited by ▼ Year ▼ Interpolation of scattered data: distance matrices and conditionally positive definite functions. Zbl 0625.41005Micchelli, Charles A. 424 1986 Fractal functions and interpolation. Zbl 0606.41005Barnsley, Michael F. 289 1986 Symmetric iterative interpolation processes. Zbl 0659.65004Deslauriers, Gilles; Dubuc, Serge 257 1989 A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael 228 2008 Learning theory estimates via integral operators and their approximations. Zbl 1127.68088Smale, Steve; Zhou, Ding-Xuan 226 2007 On the construction of multivariate (pre)wavelets. Zbl 0773.41013de Boor, Carl; DeVore, Ronald A.; Ron, Amos 118 1993 Adaptive greedy approximations. Zbl 0885.41006Davis, G.; Mallat, S.; Avellaneda, M. 117 1997 Recurrent iterated function systems. Zbl 0659.60045Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P. 110 1989 Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). Zbl 0582.41009Mhaskar, H. N.; Saff, E. B. 101 1985 \(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. Zbl 1228.65069Khoromskij, Boris N. 89 2011 On early stopping in gradient descent learning. Zbl 1125.62035Yao, Yuan; Rosasco, Lorenzo; Caponnetto, Andrea 77 2007 Multivariate cardinal interpolation with radial-basis functions. Zbl 0719.41007Buhmann, M. D. 75 1990 Weighted polynomial inequalities with doubling and \(A_\infty\) weights. Zbl 0956.42001Mastroianni, Giuseppe; Totik, Vilmos 75 2000 Univariate multiquadric approximation: Quasi-interpolation to scattered data. Zbl 0763.41012Beatson, R. K.; Powell, M. J. D. 73 1992 The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. 70 2003 Multivariate interpolation by polynomials and radial basis functions. Zbl 1076.41003Schaback, Robert 69 2005 Summation and transformation formulas for elliptic hypergeometric series. Zbl 1040.33013Warnaar, S. O. 67 2002 Pairs of dual wavelet frames from any two refinable functions. Zbl 1055.42025Daubechies, Ingrid; Han, Bin 67 2004 On multivariate polynomial interpolation. Zbl 0719.41006de Boor, Carl; Ron, Amos 66 1990 Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights. Zbl 0762.41011Levin, A. L.; Lubinsky, D. S. 65 1992 Simple cubature formulas with high polynomial exactness. Zbl 0942.41018Novak, Erich; Ritter, Klaus 63 1999 Analysis of uniform binary subdivision schemes for curve design. Zbl 0724.41011Dyn, Nira; Gregory, John A.; Levin, David 62 1991 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 61 2001 Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions. Zbl 1120.41022Narcowich, Francis J.; Ward, Joseph D.; Wendland, Holger 58 2006 The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\). Zbl 0646.41008Alfeld, Peter; Schumaker, L. L. 57 1987 Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 56 2013 Orthogonal polynomials with complex-valued weight function. I. Zbl 0592.42016Stahl, Herbert 54 1986 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004Carnicer, J. M.; Mainar, E.; Peña, J. M. 54 2004 Convexity preserving interpolatory subdivision schemes. Zbl 0918.41002Kuijt, F.; van Damme, R. 53 1998 Intrinsic localization of frames. Zbl 1130.41304Fornasier, Massimo; Gröchenig, Karlheinz 53 2005 A recurrence relation for Chebyshevian B-splines. Zbl 0583.41011Lyche, Tom 52 1985 Dual wavelet frames and Riesz bases in Sobolev spaces. Zbl 1161.42018Han, Bin; Shen, Zuowei 51 2009 On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection. Zbl 1302.65267Karkulik, Michael; Pavlicek, David; Praetorius, Dirk 51 2013 Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations. Zbl 1264.41014Speleers, Hendrik 51 2013 Biorthogonal wavelet expansions. Zbl 0882.65148Dahmen, W.; Micchelli, C. A. 50 1997 Biorthogonal multiwavelets on the interval: Cubic Hermite splines. Zbl 0952.42018Dahmen, W.; Han, B.; Jia, R.-Q.; Kunoth, A. 50 2000 Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\). Zbl 0822.46031Ditzian, Z.; Hristov, V. H.; Ivanov, K. G. 49 1995 Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017López, G.; Marcellán, F.; Van Assche, Walter 49 1995 Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. Zbl 1117.15025Vanlessen, M. 49 2007 Blossoming: A geometrical approach. Zbl 0924.65010Mazure, M.-L. 48 1999 An adaptive wavelet method for solving high-dimensional elliptic PDEs. Zbl 1205.65313Dijkema, Tammo Jan; Schwab, Christoph; Stevenson, Rob 48 2009 Approximation order provided by refinable function vectors. Zbl 0870.41015Plonka, G. 48 1997 On classical orthogonal polynomials. Zbl 0837.33010Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. 48 1995 Generalized shift-invariant systems. Zbl 1080.42025Ron, Amos; Shen, Zuowei 47 2005 Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle. Zbl 0582.42012Máté, Attila; Nevai, Paul; Totik, Vilmos 47 1985 A proof of Freud’s conjecture for exponential weights. Zbl 0653.42024Lubinsky, D. S.; Mhaskar, H. N.; Saff, E. B. 46 1988 Construction of compactly supported shearlet frames. Zbl 1239.42031Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q 46 2012 Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials. Zbl 0987.41016Israfilov, D. M. 46 2001 Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces. Zbl 1049.42017Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing 46 2004 Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole 45 2008 Hyperbolic wavelet approximation. Zbl 0895.41016De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N. 45 1998 From Schoenberg coefficients to Schoenberg functions. Zbl 1362.43004Berg, Christian; Porcu, Emilio 45 2017 Greedy algorithm and \(m\)-term trigonometric approximation. Zbl 0931.42002Temlyakov, V. N. 44 1998 Optimized tensor-product approximation spaces. Zbl 0969.65107Griebel, M.; Knapek, S. 44 2000 Tight frames and their symmetries. Zbl 1059.42026Vale, Richard; Waldron, Shayne 43 2005 A boundedness criterion via atoms for linear operators in Hardy spaces. Zbl 1283.42029Yang, Dachun; Zhou, Yuan 43 2009 Chebyshev spaces and Bernstein bases. Zbl 1116.41006Mazure, Marie-Laurence 42 2005 Rates of convex approximation in non-Hilbert spaces. Zbl 0876.41016Donahue, M. J.; Gurvits, L.; Darken, C.; Sontag, E. 42 1997 A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution. Zbl 0667.41011Ron, Amos 42 1989 The genetic sums’ representation for the moments of a system of Stieltjes functions and its application. Zbl 0966.41009Aptekarev, A.; Kaliaguine, V.; Van Iseghem, J. 41 2000 Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. Zbl 1252.46018Steinwart, Ingo; Scovel, Clint 40 2012 Extensions of Szegö’s theory of orthogonal polynomials. II. Zbl 0635.42023Máté, Attila; Nevai, Paul; Totik, Vilmos 40 1987 Nikishin systems are perfect. Zbl 1258.30015Fidalgo Prieto, U.; López Lagomasino, G. 39 2011 Constrained \(L_ p\) approximation. Zbl 0582.41002Micchelli, C. A.; Smith, P. W.; Swetits, J.; Ward, J. D. 39 1985 Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027de Boor, Carl; Ron, Amos 38 1992 Constructive representation of functions in low-rank tensor formats. Zbl 1282.15021Oseledets, I. V. 38 2013 Vector-valued, rational interpolants. III. Zbl 0614.41016Graves-Morris, P. R.; Jenkins, C. D. 38 1986 Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006Guo, Victor J. W.; Schlosser, Michael J. 38 2021 Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere. Zbl 1391.82002Bétermin, Laurent; Sandier, Etienne 38 2018 Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156Le Bris, C.; Lelièvre, T.; Maday, Y. 37 2009 Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 37 2015 An \(n\)-dimensional Clough-Tocher interpolant. Zbl 0631.41003Worsey, A. J.; Farin, G. 37 1987 Wavelets and self-affine tilings. Zbl 0813.42021Strichartz, Robert S. 37 1993 Localized polynomial frames on the ball. Zbl 1213.42153Petrushev, Pencho; Xu, Yuan 36 2008 Symmetric framelets. Zbl 1037.42038Petukhov, Alexander 36 2003 Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034Geronimo, Jeffrey S.; Iliev, Plamen 35 2010 Analysis of the intrinsic mode functions. Zbl 1100.94006Sharpley, Robert C.; Vatchev, Vesselin 35 2006 Restricted nonlinear approximation. Zbl 0947.41006Cohen, A.; DeVore, R. A.; Hochmuth, R. 34 2000 Exponential box splines. Zbl 0674.41005Ron, Amos 34 1988 Order of linear approximation from shift-invariant spaces. Zbl 0840.41025Jetter, Kurt; Zhou, Ding-Xuan 33 1995 Approximation by radial basis functions with finitely many centers. Zbl 0855.41011Schaback, R. 33 1996 Regularity of multivariate refinable functions. Zbl 0937.42017Cohen, A.; Gröchenig, K.; Villemoes, L. F. 33 1999 Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices. Zbl 1210.41010Gröchenig, Karlheinz; Klotz, Andreas 33 2010 On quasi-interpolation by radial basis functions with scattered centres. Zbl 0824.41010Buhmann, M. D.; Dyn, N.; Levin, D. 33 1995 On trigonometric wavelets. Zbl 0780.42020Chui, C. K.; Mhaskar, H. N. 33 1993 Regularity of irregular subdivision. Zbl 0957.42022Daubechies, I.; Guskov, I.; Sweldens, W. 33 1999 Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008Kuijlaars, A. B. J.; McLaughlin, K. T.-R. 32 2004 Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold. Zbl 0948.41015Dyn, N.; Narcowich, F. J.; Ward, J. D. 32 1999 Exponential asymptotics of the Mittag-Leffler function. Zbl 1025.33009Wong, R.; Zhao, Yu-Qiu 32 2002 Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory. Zbl 1204.68157Minh, Ha Quang 31 2010 Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). Zbl 1185.65051Khoromskij, Boris N. 31 2009 Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014Novak, Erich; Triebel, Hans 31 2006 Constrained interpolation and smoothing. Zbl 0596.41012Irvine, Larry D.; Marin, Samuel P.; Smith, Philip W. 31 1986 A special class of polynomials orthogonal on the unit circle including the associated polynomials. Zbl 0854.42021Peherstorfer, F. 30 1996 Constrained best approximation in Hilbert space. Zbl 0682.41034Chui, Charles K.; Deutsch, Frank; Ward, Joseph D. 30 1990 Polynomial inequalities on measurable sets and their applications. Zbl 0991.41008Ganzburg, M. I. 30 2001 Self-affine sets and graph-directed systems. Zbl 1027.37012He, Xing-Gang; Lau, Ka-Sing; Rao, Hui 30 2003 Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials. Zbl 0634.41013Lubinsky, D. S.; Saff, E. B. 30 1987 Normal multiresolution approximation of curves. Zbl 1051.42025Daubechies, Ingrid; Runborg, Olof; Sweldens, Wim 30 2004 On existence and weak stability of matrix refinable functions. Zbl 0932.42028Jiang, Qingtang; Shen, Zuowei 30 1999 Riesz energy problems with external fields and related theory. Zbl 1516.31014Dragnev, P. D.; Orive, R.; Saff, E. B.; Wielonsky, F. 1 2023 Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. Zbl 07678815Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard 1 2023 Bidemocratic bases and their connections with other greedy-type bases. Zbl 07678817Albiac, Fernando; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia 1 2023 Constructive approximation on graded meshes for the integral fractional Laplacian. Zbl 07680067Borthagaray, Juan Pablo; Nochetto, Ricardo H. 1 2023 Approximation with one-bit polynomials in Bernstein form. Zbl 07680072Güntürk, C. Sinan; Li, Weilin 1 2023 Sampling discretization of the uniform norm. Zbl 07680074Kashin, B.; Konyagin, S.; Temlyakov, V. 1 2023 Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels. Zbl 07698577Bejancu, Aurelian 1 2023 A theoretical analysis of deep neural networks and parametric PDEs. 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Zbl 1482.68217Vlačić, Verner; Bölcskei, Helmut 3 2022 Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 3 2022 A vector equilibrium problem for symmetrically located point charges on a sphere. Zbl 1494.31017Criado del Rey, Juan G.; Kuijlaars, Arno B. J. 3 2022 Sparse approximation of triangular transports. II: The infinite-dimensional case. Zbl 07538357Zech, Jakob; Marzouk, Youssef 3 2022 On the value-distribution of Hurwitz zeta-functions with algebraic parameter. Zbl 1497.11226Sourmelidis, Athanasios; Steuding, Jörn 2 2022 Optimal sampling and Christoffel functions on general domains. Zbl 07573835Dolbeault, Matthieu; Cohen, Albert 1 2022 Markov’s theorem for weight functions on the unit circle. Zbl 1486.30012Castillo, Kenier 1 2022 Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. Zbl 1486.39024Sakhnovich, Alexander 1 2022 Fourier multipliers on a vector-valued function space. Zbl 1485.42020Park, Bae Jun 1 2022 Iterated function systems enriched with symmetry. Zbl 1505.28009Leśniak, Krzysztof; Snigireva, Nina 1 2022 Quantization for spectral super-resolution. Zbl 1504.94041Güntürk, C. Sinan; Li, Weilin 1 2022 Sparse approximation of triangular transports. I: The finite-dimensional case. Zbl 1507.49040Zech, Jakob; Marzouk, Youssef 1 2022 Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method. Zbl 1514.34149Buckingham, Robert J.; Miller, Peter D. 1 2022 Construction of nonlinear approximation schemes for piecewise smooth data. Zbl 1502.65091Yang, Hyoseon; Yoon, Jungho 1 2022 Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006Guo, Victor J. W.; Schlosser, Michael J. 38 2021 Worst-case recovery guarantees for least squares approximation using random samples. Zbl 1484.41004Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni 13 2021 Semi-algebraic approximation using Christoffel-Darboux kernel. Zbl 1497.41016Marx, Swann; Pauwels, Edouard; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 6 2021 Boundary behavior of optimal polynomial approximants. Zbl 1475.30011Bénéteau, Catherine; Manolaki, Myrto; Seco, Daniel 5 2021 A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function. Zbl 1462.30051Berg, Christian; Massa, Eugenio; Peron, Ana P. 5 2021 Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I. Zbl 1479.42069Świderski, Grzegorz; Trojan, Bartosz 4 2021 Higher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spaces. Zbl 1460.42034Bui, The Anh; Duong, Xuan Thinh 4 2021 Polynomial approximation of anisotropic analytic functions of several variables. 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Zbl 1407.41006Lehmann, N.; Maier, L.-B.; Odathuparambil, S.; Reif, U. 4 2019 ...and 1051 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,656 Authors 93 Lubinsky, Doron S. 69 Saff, Edward Barry 60 Chand, Arya Kumar Bedabrata 60 Temlyakov, Vladimir Nikolaevich 55 Marcellán Español, Francisco 55 Zhou, Dingxuan 51 López Lagomasino, Guillermo Tomás 50 Van Assche, Walter 49 Mazure, Marie-Laurence 49 Navascués, María Antonia 46 Dyn, Nira 41 Durán, Antonio José 40 Dai, Feng 39 Kuijlaars, Arno B. J. 39 Leviatan, Dany 38 Totik, Vilmos 36 Viswanathan, Puthan Veedu 35 Amat, Sergio P. 35 Andrievskii, Vladimir V. 35 Chui, Charles Kam-tai 35 Han, Bin 35 Praetorius, Dirk 35 Romani, Lucia 35 Sun, Qiyu 34 Mastroianni, Giuseppe 33 Shen, Zuowei 33 Ullrich, Tino 33 Ward, Joseph Dinneen 32 Li, Song 32 Martínez-Finkelshtein, Andrei 32 Schwab, Christoph 32 Xu, Yuan 31 Cohen, Albert 31 Ismail, Mourad El-Houssieny 31 Kutyniok, Gitta 31 Menegatto, Valdir Antonio 31 Wu, Zongmin 30 Conti, Costanza 30 Jørgensen, Palle E. T. 30 Mhaskar, Hrushikesh N. 30 Speleers, Hendrik 30 Tikhonov, Sergey Yur’evich 29 Dahmen, Wolfgang A. 29 Jia, Rong-Qing 29 Manni, Carla 29 Mustafa, Ghulam 29 Ron, Amos 29 Wang, Heping 28 Aptekarev, Alexander Ivanovich 28 Chen, Dirong 28 DeVore, Ronald A. 28 Kroó, András 27 Bultheel, Adhemar François 27 Yang, Dachun 27 Yoon, Jungho 26 González-Vera, Pablo 26 Khoromskiĭ, Boris Nikolaevich 26 Lin, Shaobo 26 Sauer, Tomas 26 Sickel, Winfried 26 Simon, Barry 26 Trillo, Juan Carlos 25 Gröchenig, Karlheinz 25 Grohs, Philipp 24 Dragnev, Peter D. 24 Erdélyi, Tamás 24 Lai, Mingjun 24 Li, Yunzhang 24 Orive Rodríguez, Ramón Angel 24 Schaback, Robert 24 Vinet, Luc 23 Carnicer, Jésus Miguel 23 Porcu, Emilio 23 Qian, Tao 22 Baratchart, Laurent 22 Chu, Yuming 22 Dahlke, Stephan 22 Ditzian, Zeev 22 Griebel, Michael 22 Hardin, Douglas P. 22 Jiang, Qingtang 22 Kopotun, Kirill A. 22 Sun, Wenchang 21 Abdullayev, Fahreddin G. 21 Blatt, Hans-Peter 21 Buhmann, Martin Dietrich 21 Cao, Feilong 21 Goldman, Ronald N. 21 Guo, Victor J. W. 21 Njåstad, Olav 21 Peherstorfer, Franz 21 Petrushev, Pencho P. 21 Schumaker, Larry L. 21 Sun, Hongwei 21 Yang, Shouzhi 20 Ansorena, José Luis 20 Bownik, Marcin 20 Ganzburg, Michael Iosifovich 20 Massopust, Peter R. 20 Narcowich, Francis J. ...and 8,556 more Authors all top 5 Cited in 703 Journals 881 Journal of Approximation Theory 490 Journal of Computational and Applied Mathematics 412 Constructive Approximation 402 Journal of Mathematical Analysis and Applications 329 Applied and Computational Harmonic Analysis 189 Advances in Computational Mathematics 176 The Journal of Fourier Analysis and Applications 171 Applied Mathematics and Computation 165 Computer Aided Geometric Design 141 Proceedings of the American Mathematical Society 141 Journal of Complexity 135 Numerical Algorithms 132 Mathematics of Computation 130 Computers & Mathematics with Applications 111 Numerische Mathematik 110 Linear Algebra and its Applications 105 International Journal of Wavelets, Multiresolution and Information Processing 100 Journal of Computational Physics 93 Journal of Functional Analysis 93 Computational Methods and Function Theory 91 Transactions of the American Mathematical Society 90 Computer Methods in Applied Mechanics and Engineering 90 Advances in Mathematics 85 Results in Mathematics 82 Fractals 72 Applied Numerical Mathematics 70 Engineering Analysis with Boundary Elements 69 SIAM Journal on Scientific Computing 68 Analysis and Applications (Singapore) 65 Numerical Functional Analysis and Optimization 64 Foundations of Computational Mathematics 62 Integral Transforms and Special Functions 56 Communications in Mathematical Physics 56 Journal of Scientific Computing 56 Acta Mathematica Sinica. 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Series B 17 Journal of Statistical Planning and Inference ...and 603 more Journals all top 5 Cited in 62 Fields 3,308 Approximations and expansions (41-XX) 3,017 Numerical analysis (65-XX) 2,575 Harmonic analysis on Euclidean spaces (42-XX) 1,242 Special functions (33-XX) 994 Functions of a complex variable (30-XX) 872 Functional analysis (46-XX) 669 Operator theory (47-XX) 655 Partial differential equations (35-XX) 652 Computer science (68-XX) 651 Information and communication theory, circuits (94-XX) 575 Statistics (62-XX) 569 Probability theory and stochastic processes (60-XX) 540 Measure and integration (28-XX) 445 Linear and multilinear algebra; matrix theory (15-XX) 419 Real functions (26-XX) 295 Number theory (11-XX) 290 Ordinary differential equations (34-XX) 234 Operations research, mathematical programming (90-XX) 228 Potential theory (31-XX) 228 Dynamical systems and ergodic theory (37-XX) 206 Combinatorics (05-XX) 179 Difference and functional equations (39-XX) 158 Quantum theory (81-XX) 157 Abstract harmonic analysis (43-XX) 152 Statistical mechanics, structure of matter (82-XX) 145 Fluid mechanics (76-XX) 117 Several complex variables and analytic spaces (32-XX) 115 Integral transforms, operational calculus (44-XX) 115 Integral equations (45-XX) 110 Systems theory; control (93-XX) 109 Convex and discrete geometry (52-XX) 107 Calculus of variations and optimal control; optimization (49-XX) 93 Mechanics of deformable solids (74-XX) 75 Biology and other natural sciences (92-XX) 65 Sequences, series, summability (40-XX) 63 Global analysis, analysis on manifolds (58-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Commutative algebra (13-XX) 47 Differential geometry (53-XX) 46 Algebraic geometry (14-XX) 45 Topological groups, Lie groups (22-XX) 40 Geophysics (86-XX) 37 General topology (54-XX) 36 Nonassociative rings and algebras (17-XX) 35 Group theory and generalizations (20-XX) 29 Geometry (51-XX) 24 History and biography (01-XX) 23 Optics, electromagnetic theory (78-XX) 19 Mechanics of particles and systems (70-XX) 18 General and overarching topics; collections (00-XX) 18 Associative rings and algebras (16-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Field theory and polynomials (12-XX) 13 Manifolds and cell complexes (57-XX) 7 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Relativity and gravitational theory (83-XX) 5 Mathematics education (97-XX) 3 Astronomy and astrophysics (85-XX) 2 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) Citations by Year