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 2021-04-01 to 2025-04-01.)
ArticleCitations
Extended best Lp37
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters13
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering9
On(β,γ)8
Positivity of Turán determinants for orthogonal polynomials II8
Non-compact embeddings of Sobolev spaces8
A matrix version of a higher-order Szegő theorem7
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials7
Editorial Board6
Editorial Board6
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials6
Editorial Board5
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels5
Chebyshev polynomials corresponding to a vanishing weight5
On maximal autocorrelations of Rudin–Shapiro sequences5
Factorization of Hermite subdivision operators from polynomial over-reproduction5
The Lebesgue constants for Leja points are subexponential5
Editorial Board4
Editorial4
On sharp heat kernel estimates in the context of Fourier–Dini expansions4
Log-concavity of B-splines4
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)4
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions4
Randomized approximation of summable sequences — adaptive and non-adaptive4
In memory of Peter Borwein4
Chebyshev polynomials in the 16th century4
Asymptotic correlations with corrections for the circular Jacobi β-ens4
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions3
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C3
Series representations of the Volterra function and the Fransén–Robinson constant3
Nonlinear approximation of high-dimensional anisotropic analytic functions3
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets3
Multivariate polynomial splines on generalized oranges3
In search of a higher Bochner theorem3
On planar polynomial geometric interpolation3
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation3
Lower bounds for piecewise polynomial approximations of oscillatory functions3
Polynomial approximation on disjoint segments and amplification of approximation3
A CMV connection between orthogonal polynomials on the unit circle and the real line3
Approximation by sums of shifts and dilations of a single function and neural networks3
Quasi-uniform designs with optimal and near-optimal uniformity constant2
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]2
Entropy function and orthogonal polynomials2
Editorial Board2
Orthogonal polynomials for self-dual weights2
s-Numbers of embeddings of weighted Wiener algebras2
Editorial Board2
Negative results in coconvex approximation of periodic functions2
Editorial Board2
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros2
A statistical learning assessment of Huber regression2
Editorial Board2
Nonlinear steepest descent approach to orthogonality on elliptic curves2
Counterexamples in isometric theory of symmetric and greedy bases2
On a conjecture concerning interpolation by bivariate Bernstein polynomials2
Editorial Board2
Strong uniqueness and alternation theorems for relative Chebyshev centers2
Translation-based completeness on compact intervals2
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials2
About essential spectra of unbounded Jacobi matrices2
Editorial Board2
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation2
Editorial Board1
Compact cubic splines1
Spherical basis functions in Hardy spaces with localization constraints1
Approximating the derivative of manifold-valued functions1
The Lp1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials1
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros1
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?1
Editorial Board1
Localization for random CMV matrices1
In memory of Peter Borwein1
Editorial Board1
Improved Stein inequalities for the Fourier transform1
Optimal dual quantizers of 1D 1
Christoffel functions for multiple orthogonal polynomials1
Editorial Board1
Extension of the best polynomial operator in generalized Orlicz Spaces1
Coefficient-based regularized distribution regression1
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings1
Approximation of functions with small mixed smoothness in the uniform norm1
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation1
Editorial Board1
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)1
Fourier–Zernike series of compactly supported convolutions on S1
Spectral properties of a class of Moran measures on 1
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions1
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse1
“Near-best” polynomial approximation of harmonic functions on compact sets in 1
Sharp Lp1
Onesided Korovkin approximation1
Editorial Board1
On dynamics of asymptotically minimal polynomials1
The Landau–Kolmogorov problem on a finite interval in the Taikov case1
Sequences of dilations and translations equivalent to the Haar system in 1
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 1
On the asymptotic behavior of Jacobi polynomials with first varying parameter1
On the optimal constants in the two-sided Stechkin inequalities1
Kolmogorov widths of an intersection of a family of balls in a mixed norm1
Markov-type inequalities and extreme zeros of orthogonal polynomials1
Mean convergence of Lagrange interpolation1
Weighted embeddings for function spaces associated with Hermite expansions1
On some identities for confluent hypergeometric functions and Bessel functions1
Bump functions with monotone Fourier transforms satisfying decay bounds1
Absolute minima of potentials of certain regular spherical configurations1
Editorial Board1
On the representability of a continuous multivariate function by sums of ridge functions1
On the condition of cubic B-splines1
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions1
Editorial Board1
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings1
On the best uniform polynomial approximation to the checkmark function0
Editorial Board0
Proximinality and uniformly approximable sets in L0
Editorial Board0
Sharp estimates for Jacobi heat kernels in conic domains0
Bernstein inequality on conic domains and triangles0
Editorial Board0
Multiplicity of zeros of polynomials0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Besov spaces with generalized smoothness and summability of multiple Fourier series0
Measure of noncompactness of Sobolev embeddings on strip-like domains0
A dual-type problem to Christoffel function0
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations0
Bernstein–Szegő inequality for trigonometric polynomials in 0
Absorbing–reflecting factorizations for birth–death chains on the integers and their Darboux transformations0
Function recovery on manifolds using scattered data0
Mean convergence of Fourier–Akhiezer–Chebyshev series0
Dual spaces vs. Haar measures of polynomial hypergroups0
Matrix-valued orthogonal polynomials related to hexagon tilings0
Random sections of p0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
Editorial Board0
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle0
On semi-classical weight functions on the unit circle0
Lagrange interpolation polynomials for Laguerre-type weights0
Gap probability for products of random matrices in the critical regime0
Geometric computation of Christoffel functions on planar convex domains0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 0
Infinite-dimensional integration and L0
Sharp Lp0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
Hermite–Padé approximation and integrability0
A note on K-functional, Modulus of smoothness, Jackson theorem and Ber0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
Minimal projections onto subspaces generated by sign-matrices0
A simple upper bound for Lebesgue constants associated with Leja points on the real line0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators0
Editorial Board0
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation0
Editorial Board0
Spectral decomposition of H<0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Editorial Board0
Randomized weakly admissible meshes0
Codimension 1 minimal projections onto the lines in L0
Approximation theorems on graphs0
Editorial Board0
On modular approximants in sequential convergence spaces0
Sequences of m-term deviations in Hilbert space0
Sampling discretization error of integral norms for function classes with small smoothness0
Peter Borwein: A philosopher’s mathematician0
Editorial Board0
Bernstein-type constants for approximation of |0
Convergence rate for weighted polynomial approximation on the real line0
Editorial Board0
A modified Christoffel function and its asymptotic properties0
Concentration inequalities for cross-validation in scattered data approximation0
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures0
Fast rates of minimum error entropy with heavy-tailed noise0
Approximating the pth root by composite rational functions0
Distribution of the zeros of polynomials near the unit circle0
Strong converse inequality for linear combinations of Szász-Mirakjan operators0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
An intersection representation for a class of anisotropic vector-valued function spaces0
Estimates of linear expressions through factorization0
On some measures of non-compactness associated to Banach operator ideals0
Editorial Board0
The sharp Landau–Kolmogorov inequality for the set 0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences0
WITHDRAWN: A canonical transform for strengthening the local L0
Inradius of random lemniscates0
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces0
Weighted estimates for Hermite pseudo-multipliers with rough symbols0
Monotonicity of zeros of derivatives of Bessel functions0
Density order of Parseval wavelet frames from extension principles0
Editorial Board0
Editorial Board0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Editorial Board0
On approximation by rational functions in Musielak–Orlicz spaces0
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms0
Norm estimates for Chebyshev polynomials, I0
H-sets for kernel-based spaces0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Weighted Lp0
Editorial Board0
Editorial Board0
Explicit bounds for even moments of Bernstein’s polynomials0
On the approximation of functions in C<0
Estimations of singular functions of kernel cross-covariance operators0
Editorial Board0
Quarklet characterizations for Triebel–Lizorkin spaces0
Chebyshev unions of planes, and their approximative and geometric properties0
Editorial Board0
On sparse recovery algorithms in unions of orthonormal bases0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Smoothness of subspace sections of the unit balls of C0
Reconstruction of functions from prescribed proximal points0
Singular examples of the Matrix Bochner Problem0
Approximation properties of periodic multivariate quasi-interpolation operators0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Stable high-order randomized cubature formulae in arbitrary dimension0
Wavelet characterization of Triebel–Lizorkin spaces for p0
The Machado–Bishop theorem in the uniform topology0
An approximate functional equation for the Riemann zeta function with exponentially decaying error0
Asymptotically optimal cubature formulas on manifolds for prefixed weights0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
Editorial Board0
Compactness interpolation results for bilinear operators of convolution type and for operators of product type0
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
Strictly positive definite functions on spheres0
Extremal polynomials on a Jordan arc0
On L0
Exact L20
Comonotone approximation of periodic functions0
Analytical study of the pantograph equation using Jacobi theta functions0
Orthonormal expansions for translation-invariant kernels0
Complex spherical designs from group orbits0
Approximation error for neural network operators by an averaged modulus of smoothness0
Generalized Bell polynomials0
Asymptotics for orthogonal polynomials and separation of their zeros0
Optimization-aided construction of multivariate Chebyshev polynomials0
Editorial Board0
Editorial Board0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Orthogonal polynomials in weighted Bergman spaces0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Hard edge statistics of products of Pólya ensembles and shifted GUE’s0
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