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 2021-07-01 to 2025-07-01.)
ArticleCitations
Editorial45
The Lebesgue constants for Leja points are subexponential11
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions10
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions8
On(β,γ)8
Editorial Board7
On a conjecture concerning interpolation by bivariate Bernstein polynomials7
On maximal autocorrelations of Rudin–Shapiro sequences7
Approximating the derivative of manifold-valued functions7
Asymptotic correlations with corrections for the circular Jacobi β-ens7
Editorial Board7
On the asymptotic behavior of Jacobi polynomials with first varying parameter6
Editorial Board5
Approximation of functions with small mixed smoothness in the uniform norm5
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse5
Counterexamples in isometric theory of symmetric and greedy bases5
Editorial Board4
Minimal projections onto subspaces generated by sign-matrices4
Richard S. Varga October 9, 1928 – February 25, 20224
Explicit bounds for even moments of Bernstein’s polynomials4
Spectral properties of a class of Moran measures on 4
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?4
Comonotone approximation of periodic functions4
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces4
Estimates for the modulus of continuity in the Jacobi frame4
Lower bounds for piecewise polynomial approximations of oscillatory functions3
Extremal polynomials on the n-grid3
On some measures of non-compactness associated to Banach operator ideals3
Bernstein inequality on conic domains and triangles3
Editorial Board3
Besov spaces with generalized smoothness and summability of multiple Fourier series3
Mean convergence of Fourier–Akhiezer–Chebyshev series3
Strictly positive definite functions on spheres3
Wavelet characterization of Triebel–Lizorkin spaces for p3
Bernstein-type constants for approximation of |3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles3
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)3
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels3
A superposition theorem of Kolmogorov type for bounded continuous functions3
Asymptotically optimal cubature formulas on manifolds for prefixed weights3
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 3
Editorial Board3
Spectral decomposition of H<3
s-Numbers of embeddings of weighted Wiener algebras2
Absolute minima of potentials of certain regular spherical configurations2
Sharp Lp2
Gap probability for products of random matrices in the critical regime2
On approximation by rational functions in Musielak–Orlicz spaces2
On C. Michel’s hypothesis about the modulus of typically real polynomials2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials2
Editorial Board2
Extended best Lp2
Orthogonal polynomials for self-dual weights2
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters2
Inradius of random lemniscates2
Harmonic analysis of little q-Legendre polynomials2
Editorial Board2
Optimization-aided construction of multivariate Chebyshev polynomials2
Editorial Board2
In memory of Peter Borwein2
Nonlinear steepest descent approach to orthogonality on elliptic curves2
Estimates for entropy numbers of sets of smooth functions on complex spheres2
A statistical learning assessment of Huber regression2
Editorial Board2
Chebyshev unions of planes, and their approximative and geometric properties2
Estimates of linear expressions through factorization2
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation2
On the condition of cubic B-splines2
Compact cubic splines2
Editorial Board2
Polynomial approximation on disjoint segments and amplification of approximation2
Multivariate polynomial splines on generalized oranges2
Concentration inequalities for cross-validation in scattered data approximation1
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity1
Editorial Board1
The derivatives of the heat kernel on complete manifolds1
About essential spectra of unbounded Jacobi matrices1
The Landau–Kolmogorov problem on a finite interval in the Taikov case1
Bernstein–Szegő inequality for trigonometric polynomials in 1
Editorial Board1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms1
Series representations of the Volterra function and the Fransén–Robinson constant1
Editorial Board1
Quarklet characterizations for Triebel–Lizorkin spaces1
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle1
Geometric computation of Christoffel functions on planar convex domains1
Editorial Board1
Negative results in coconvex approximation of periodic functions1
Extremal polynomials on a Jordan arc1
On the representability of a continuous multivariate function by sums of ridge functions1
On sharp heat kernel estimates in the context of Fourier–Dini expansions1
On simultaneous density order from shift invariant subspaces in Sobolev spaces1
Editorial Board1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity1
Approximation by sums of shifts and dilations of a single function and neural networks1
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces1
Editorial Board1
Proximinality and uniformly approximable sets in L1
A modified Christoffel function and its asymptotic properties1
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences1
Telescoping continued fractions for the error term in Stirling’s formula1
“Near-best” polynomial approximation of harmonic functions on compact sets in 1
Lagrange interpolation polynomials for Laguerre-type weights1
On the optimal constants in the two-sided Stechkin inequalities1
Log-concavity of B-splines1
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C1
Editorial Board1
Twenty-five years of greedy bases1
Coefficient-based regularized distribution regression1
Approximation theorems on graphs1
On L1
Exact L21
Editorial Board0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
Sampling discretization error of integral norms for function classes with small smoothness0
The Lp0
The Machado–Bishop theorem in the uniform topology0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Chebyshev polynomials in the 16th century0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Compactness interpolation results for bilinear operators of convolution type and for operators of product type0
Chebyshev polynomials corresponding to a vanishing weight0
Mean convergence of Lagrange interpolation0
Editorial Board0
Random sections of p0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 0
Monotonicity of zeros of derivatives of Bessel functions0
Complex spherical designs from group orbits0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Hermite–Padé approximation and integrability0
Bounds for extreme zeros of Meixner–Pollaczek polynomials0
Singular examples of the Matrix Bochner Problem0
Distribution of the zeros of polynomials near the unit circle0
Density order of Parseval wavelet frames from extension principles0
Sequences of dilations and translations equivalent to the Haar system in 0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings0
On some identities for confluent hypergeometric functions and Bessel functions0
Editorial Board0
Iterated entropy derivatives and binary entropy inequalities0
Measure of noncompactness of Sobolev embeddings on strip-like domains0
Analytical study of the pantograph equation using Jacobi theta functions0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Factorization of Hermite subdivision operators from polynomial over-reproduction0
Translation-based completeness on compact intervals0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Asymptotics for orthogonal polynomials and separation of their zeros0
Codimension 1 minimal projections onto the lines in L0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
Dual spaces vs. Haar measures of polynomial hypergroups0
On dynamics of asymptotically minimal polynomials0
A simple upper bound for Lebesgue constants associated with Leja points on the real line0
Turán’s inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
Complex Jacobi matrices generated by Darboux transformations0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Editorial Board0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros0
Editorial Board0
On the representing measures of Dunkl’s intertwining operator0
Editorial Board0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
Editorial Board0
Multiplicity of zeros of polynomials0
Cosine polynomials with restrictions on their algebraic representation0
Editorial Board0
Editorial Board0
Onesided Korovkin approximation0
Orthonormal expansions for translation-invariant kernels0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
Alternation points, weights and orthogonal polynomials0
Editorial Board0
Christoffel functions for multiple orthogonal polynomials0
The sharp Landau–Kolmogorov inequality for the set 0
Intertwining operator associated to symmetric groups and summability on the unit sphere0
Positivity of Turán determinants for orthogonal polynomials II0
Entropy function and orthogonal polynomials0
On semi-classical weight functions on the unit circle0
Editorial Board0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Editorial Board0
Generalized Bell polynomials0
Localization for random CMV matrices0
Randomized approximation of summable sequences — adaptive and non-adaptive0
Improved Stein inequalities for the Fourier transform0
Sharp estimates for Jacobi heat kernels in conic domains0
In memory of Peter Borwein0
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials0
Orthogonal polynomials in weighted Bergman spaces0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
On sparse recovery algorithms in unions of orthonormal bases0
In search of a higher Bochner theorem0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Strong converse inequality for linear combinations of Szász-Mirakjan operators0
Weighted Lp0
Spherical basis functions in Hardy spaces with localization constraints0
Editorial Board0
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
Editorial Board0
Sharp Lp0
Editorial Board0
Function recovery on manifolds using scattered data0
Sequences of m-term deviations in Hilbert space0
On the approximation of functions in C<0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Editorial Board0
Stable high-order randomized cubature formulae in arbitrary dimension0
Editorial Board0
On the best uniform polynomial approximation to the checkmark function0
Markov-type inequalities and extreme zeros of orthogonal polynomials0
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)0
WITHDRAWN: A canonical transform for strengthening the local L0
Convergence rate for weighted polynomial approximation on the real line0
Fast rates of minimum error entropy with heavy-tailed noise0
Editorial Board0
Reconstruction of functions from prescribed proximal points0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Bump functions with monotone Fourier transforms satisfying decay bounds0
Approximation properties of periodic multivariate quasi-interpolation operators0
Non-compact embeddings of Sobolev spaces0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions0
Editorial Board0
Hard edge statistics of products of Pólya ensembles and shifted GUE’s0
Editorial Board0
Measure-preserving mappings from the unit cube to some symmetric spaces0
Editorial Board0
Fourier–Zernike series of compactly supported convolutions on S0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials0
Peter Borwein: A philosopher’s mathematician0
Matrix-valued orthogonal polynomials related to hexagon tilings0
On planar polynomial geometric interpolation0
H-sets for kernel-based spaces0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
0.026499032974243