Journal of Approximation Theory

Papers
(The median citation count of Journal of Approximation Theory is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)
ArticleCitations
A statistical learning assessment of Huber regression27
A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution21
Smoothness of subspace sections of the unit balls of C10
Approximation of functions with small mixed smoothness in the uniform norm9
Alternating projections, remotest projections, and greedy approximation9
Spectra of a class of Cantor–Moran measures with three-element digit sets9
Multiple orthogonal polynomials associated with confluent hypergeometric functions8
Stable high-order randomized cubature formulae in arbitrary dimension8
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations7
Approximation properties of periodic multivariate quasi-interpolation operators6
Asymptotic correlations with corrections for the circular Jacobi β-ens6
On the Widom factors for Lp6
Norm estimates for Chebyshev polynomials, I6
Recovery guarantees for polynomial coefficients from weakly dependent data with outliers6
s-Numbers of embeddings of weighted Wiener algebras5
Asymptotic behavior of Christoffel–Darboux kernel via three-term recurrence relation II5
Nonlinear steepest descent approach to orthogonality on elliptic curves5
Reconstruction of functions from prescribed proximal points5
Weighted embeddings for function spaces associated with Hermite expansions4
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions4
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels4
Approximation theorems on graphs4
Asymptotic behavior of orthogonal polynomials. Singular critical case4
Hermite–Padé approximation and integrability4
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 4
Asymptotically optimal cubature formulas on manifolds for prefixed weights4
On the representing measures of Dunkl’s intertwining operator4
On the spacing of zeros of paraorthogonal polynomials for singular measures4
Factorization of Hermite subdivision operators from polynomial over-reproduction4
An intersection representation for a class of anisotropic vector-valued function spaces4
Sparse approximation of individual functions3
Bilinear Fourier multipliers and the rate of decay of their derivatives3
Matrix-valued orthogonal polynomials related to hexagon tilings3
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures3
Quasi-uniform designs with optimal and near-optimal uniformity constant3
About families of orthogonal polynomials satisfying Heun’s differential equation3
Approximation error for neural network operators by an averaged modulus of smoothness3
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces3
Kernel gradient descent algorithm for information theoretic learning3
Asymptotics of sharp constants in Markov–Bernstein–Nikolskii type inequalities with exponential weights3
Negative results in coconvex approximation of periodic functions3
On(β,γ)3
A simple upper bound for Lebesgue constants associated with Leja points on the real line3
Error bounds for the method of simultaneous projections with infinitely many subspaces3
Chebyshev unions of planes, and their approximative and geometric properties3
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros3
On the asymptotic behavior of Jacobi polynomials with first varying parameter3
The Lebesgue constants for Leja points are subexponential3
Localization for random CMV matrices2
“Near-best” polynomial approximation of harmonic functions on compact sets in 2
Chebyshev polynomials in the 16th century2
Bernstein–Szegő inequality for trigonometric polynomials in 2
Estimates of entropy for multiplier operators of systems of orthonormal functions2
A note on K-functional, Modulus of smoothness, Jackson theorem and Ber2
Extremal polynomials on a Jordan arc2
Signal separation under coherent dictionaries and 2
Markov-type inequalities and extreme zeros of orthogonal polynomials2
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings2
Entropy function and orthogonal polynomials2
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures2
Geometric computation of Christoffel functions on planar convex domains2
Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind2
Turán’s inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials2
Randomized weakly admissible meshes2
Fourier–Zernike series of compactly supported convolutions on S2
About essential spectra of unbounded Jacobi matrices2
Extended best Lp2
Codimension 1 minimal projections onto the lines in L2
Bernstein inequality on conic domains and triangles2
Concentration inequalities for cross-validation in scattered data approximation2
Measure of noncompactness of Sobolev embeddings on strip-like domains2
Distributed learning and distribution regression of coefficient regularization2
Intertwining operator associated to symmetric groups and summability on the unit sphere1
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces1
An approximate functional equation for the Riemann zeta function with exponentially decaying error1
Orthogonal polynomials for self-dual weights1
Random sections of p1
Approximation by sums of shifts and dilations of a single function and neural networks1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms1
Wavelet characterization of Triebel–Lizorkin spaces for p1
Rational approximation and Sobolev-type orthogonality1
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm1
Sharp Lp1
Besov spaces with generalized smoothness and summability of multiple Fourier series1
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights1
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials1
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity1
Asymptotics for orthogonal polynomials and separation of their zeros1
Absorbing–reflecting factorizations for birth–death chains on the integers and their Darboux transformations1
On modular approximants in sequential convergence spaces1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
Strong uniqueness and alternation theorems for relative Chebyshev centers1
A superposition theorem of Kolmogorov type for bounded continuous functions1
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation1
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators1
Absolute minima of potentials of certain regular spherical configurations1
Estimates of linear expressions through factorization1
A CMV connection between orthogonal polynomials on the unit circle and the real line1
Stability of Fredholm properties on interpolation Banach spaces1
Complex spherical designs from group orbits1
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials1
Hard edge statistics of products of Pólya ensembles and shifted GUE’s1
Optimal dual quantizers of 1D 1
On sparse recovery algorithms in unions of orthonormal bases1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity1
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering1
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 1
Exact L21
Bispectrality of Meixner type polynomials1
A modified Christoffel function and its asymptotic properties1
Harmonic analysis of little q-Legendre polynomials1
On the optimal constants in the two-sided Stechkin inequalities1
Inradius of random lemniscates1
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation1
Compactness interpolation results for bilinear operators of convolution type and for operators of product type1
Chebyshev polynomials corresponding to a vanishing weight1
Laurent skew orthogonal polynomials and related symplectic matrices1
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation1
A matrix version of a higher-order Szegő theorem1
The matching condition for larger size Riemann–Hilbert problems1
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings1
Series representations of the Volterra function and the Fransén–Robinson constant1
Fast rates of minimum error entropy with heavy-tailed noise1
Christoffel functions for multiple orthogonal polynomials1
Constants of strong uniqueness of minimal projections onto some n-dimensional subspaces of 1
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions1
Density order of Parseval wavelet frames from extension principles1
Multiplicity of zeros of polynomials1
Gap probability for products of random matrices in the critical regime1
Counterexamples in isometric theory of symmetric and greedy bases0
On some measures of non-compactness associated to Banach operator ideals0
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Spectral properties of a class of Moran measures on 0
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Compact cubic splines0
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On maximal autocorrelations of Rudin–Shapiro sequences0
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse0
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Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions0
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Sequences of dilations and translations equivalent to the Haar system in 0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
On some identities for confluent hypergeometric functions and Bessel functions0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
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Bernstein-type constants for approximation of |0
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Cosine polynomials with restrictions on their algebraic representation0
Proximinality and uniformly approximable sets in L0
Richard S. Varga October 9, 1928 – February 25, 20220
Analytical study of the pantograph equation using Jacobi theta functions0
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On L0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
Extremal polynomials on the n-grid0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
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Alternation points, weights and orthogonal polynomials0
Mean convergence of Lagrange interpolation0
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Positivity of Turán determinants for orthogonal polynomials II0
Infinite-dimensional integration and L0
In memory of Peter Borwein0
Approximating the pth root by composite rational functions0
Polynomial approximation on disjoint segments and amplification of approximation0
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?0
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Coefficient-based regularized distribution regression0
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle0
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters0
Bump functions with monotone Fourier transforms satisfying decay bounds0
Peter Borwein: A philosopher’s mathematician0
Orthogonal polynomial projection error in Dunkl–Sobolev norms in the ball0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Non-compact embeddings of Sobolev spaces0
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On dynamics of asymptotically minimal polynomials0
H-sets for kernel-based spaces0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
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Orthonormal expansions for translation-invariant kernels0
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Orthogonal polynomials in weighted Bergman spaces0
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Estimates for the modulus of continuity in the Jacobi frame0
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences0
The derivatives of the heat kernel on complete manifolds0
The sharp Landau–Kolmogorov inequality for the set 0
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Telescoping continued fractions for the error term in Stirling’s formula0
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Nonlinear approximation of high-dimensional anisotropic analytic functions0
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Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Lagrange interpolation polynomials for Laguerre-type weights0
In memory of Peter Borwein0
WITHDRAWN: A canonical transform for strengthening the local L0
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Multivariate polynomial splines on generalized oranges0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
Onesided Korovkin approximation0
A dual-type problem to Christoffel function0
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Comonotone approximation of periodic functions0
Spectral decomposition of H<0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
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On planar polynomial geometric interpolation0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
On a conjecture concerning interpolation by bivariate Bernstein polynomials0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
Explicit bounds for even moments of Bernstein’s polynomials0
Approximating the derivative of manifold-valued functions0
Sharp Lp0
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Convergence rate for weighted polynomial approximation on the real line0
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Quarklet characterizations for Triebel–Lizorkin spaces0
The Lp0
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Log-concavity of B-splines0
On semi-classical weight functions on the unit circle0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
Sequences of m-term deviations in Hilbert space0
On the condition of cubic B-splines0
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Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Weighted estimates for Hermite pseudo-multipliers with rough symbols0
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Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
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