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: 1,322 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) 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) ...and 83 more Volumes all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 2023 Variable anisotropic singular integral operators. Zbl 07751275 Bownik, Marcin; Li, Baode; Li, Jinxia 1 2023 Multivariate generalized Hermite subdivision schemes. Zbl 1528.41003 Han, Bin 1 2023 Universal sampling discretization. Zbl 07781586 Dai, F.; Temlyakov, V. 1 2023 Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems. Zbl 1525.33007 Gharakhloo, Roozbeh; Witte, Nicholas S. 1 2023 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 2023 Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels. Zbl 1520.41001 Bejancu, Aurelian 1 2023 Characterization of the variation spaces corresponding to shallow neural networks. Zbl 07698579 Siegel, Jonathan W.; Xu, Jinchao 1 2023 Universal regular conditional distributions via probabilistic transformers. Zbl 07698581 Kratsios, Anastasis 1 2023 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 2022 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 2022 Sparse approximation of triangular transports. II: The infinite-dimensional case. Zbl 07538357 Zech, Jakob; Marzouk, Youssef 5 2022 Universal approximations of invariant maps by neural networks. Zbl 1505.41019 Yarotsky, Dmitry 5 2022 Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method. Zbl 1514.34149 Buckingham, Robert J.; Miller, Peter D. 4 2022 Optimal sampling and Christoffel functions on general domains. Zbl 1517.41001 Dolbeault, Matthieu; Cohen, Albert 4 2022 Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042 Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 4 2022 Neural network identifiability for a family of sigmoidal nonlinearities. Zbl 1482.68217 Vlačić, Verner; Bölcskei, Helmut 3 2022 On the value-distribution of Hurwitz zeta-functions with algebraic parameter. Zbl 1497.11226 Sourmelidis, Athanasios; Steuding, Jörn 2 2022 Sparse approximation of triangular transports. I: The finite-dimensional case. Zbl 1507.49040 Zech, Jakob; Marzouk, Youssef 2 2022 Failure of approximation of odd functions by odd polynomials. Zbl 1517.41002 Mashreghi, Javad; Parisé, Pierre-Olivier; Ransford, Thomas 2 2022 Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. Zbl 1486.39024 Sakhnovich, Alexander 2 2022 On the connection problem for the second Painlevé equation with large initial data. Zbl 1515.33019 Long, Wen-Gao; Zeng, Zhao-Yun 1 2022 Construction of nonlinear approximation schemes for piecewise smooth data. Zbl 1502.65091 Yang, Hyoseon; Yoon, Jungho 1 2022 Iterated function systems enriched with symmetry. Zbl 1505.28009 Leśniak, Krzysztof; Snigireva, Nina 1 2022 Quantization for spectral super-resolution. Zbl 1504.94041 Güntürk, C. Sinan; Li, Weilin 1 2022 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 2022 Phase retrieval by binary questions: which complementary subspace is closer? Zbl 1495.94013 Domel-White, Dylan; Bodmann, Bernhard G. 1 2022 Markov’s theorem for weight functions on the unit circle. Zbl 1486.30012 Castillo, Kenier 1 2022 Fourier multipliers on a vector-valued function space. Zbl 1485.42020 Park, Bae Jun 1 2022 Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006 Guo, Victor J. W.; Schlosser, Michael J. 50 2021 Worst-case recovery guarantees for least squares approximation using random samples. 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