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 2021-10-01 to 2025-10-01.)
ArticleCitations
Editorial52
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions10
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions9
The Lebesgue constants for Leja points are subexponential8
On maximal autocorrelations of Rudin–Shapiro sequences8
Asymptotic correlations with corrections for the circular Jacobi β-ens7
On(β,γ)7
Editorial Board6
On a conjecture concerning interpolation by bivariate Bernstein polynomials5
Approximating the derivative of manifold-valued functions5
Editorial Board5
Approximation of functions with small mixed smoothness in the uniform norm4
Editorial Board4
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces4
On the asymptotic behavior of Jacobi polynomials with first varying parameter4
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?4
Comonotone approximation of periodic functions4
Editorial Board4
Counterexamples in isometric theory of symmetric and greedy bases4
Editorial Board4
Minimal projections onto subspaces generated by sign-matrices4
Spectral properties of a class of Moran measures on 3
Richard S. Varga October 9, 1928 – February 25, 20223
Exact asymptotic order for generalised adaptive approximations3
Explicit bounds for even moments of Bernstein’s polynomials3
Interpolation of compact multilinear operators between quasi-Banach spaces3
Estimates for the modulus of continuity in the Jacobi frame3
Extremal polynomials on the n-grid3
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse3
Wavelet characterization of Triebel–Lizorkin spaces for p3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles3
Strictly positive definite functions on spheres2
On some measures of non-compactness associated to Banach operator ideals2
Spectral decomposition of H<2
Mean convergence of Fourier–Akhiezer–Chebyshev series2
Estimates for entropy numbers of sets of smooth functions on complex spheres2
Bernstein-type constants for approximation of |2
Editorial Board2
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 2
Bernstein inequality on conic domains and triangles2
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels2
A point process on the unit circle with antipodal interactions2
Asymptotically optimal cubature formulas on manifolds for prefixed weights2
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)2
Besov spaces with generalized smoothness and summability of multiple Fourier series2
Lower bounds for piecewise polynomial approximations of oscillatory functions2
Editorial Board2
Extremal polynomials on a Jordan arc1
Estimates of linear expressions through factorization1
Harmonic analysis of little q-Legendre polynomials1
Sharp Lp1
Compact cubic splines1
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation1
Editorial Board1
Absolute minima of potentials of certain regular spherical configurations1
Polynomial approximation on disjoint segments and amplification of approximation1
Nonlinear steepest descent approach to orthogonality on elliptic curves1
Editorial Board1
On approximation by rational functions in Musielak–Orlicz spaces1
The derivatives of the heat kernel on complete manifolds1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
Chebyshev unions of planes, and their approximative and geometric properties1
Editorial Board1
s-Numbers of embeddings of weighted Wiener algebras1
Telescoping continued fractions for the error term in Stirling’s formula1
Orthogonal polynomials for self-dual weights1
A statistical learning assessment of Huber regression1
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters1
Extended best Lp1
Optimization-aided construction of multivariate Chebyshev polynomials1
Runge-type approximation theorem for Banach-valued H1
A modified Christoffel function and its asymptotic properties1
Inradius of random lemniscates1
Gap probability for products of random matrices in the critical regime1
On the condition of cubic B-splines1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials1
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces1
In memory of Peter Borwein1
Multivariate polynomial splines on generalized oranges1
Editorial Board1
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces1
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
Infinite-dimensional integration and L0
Proximinality and uniformly approximable sets in L0
Editorial Board0
Editorial Board0
Onesided Korovkin approximation0
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle0
On the approximation of functions in C<0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
A note on diffusion limits for stochastic gradient descent0
Editorial Board0
Invertible and Fredholm operators on interpolation scales0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Distribution of the zeros of polynomials near the unit circle0
Weighted Lp0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
Hard edge statistics of products of Pólya ensembles and shifted GUE’s0
Factorization of Hermite subdivision operators from polynomial over-reproduction0
Editorial Board0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Asymptotics of Bergman polynomials for domains with reflection-invariant corners0
H-sets for kernel-based spaces0
About essential spectra of unbounded Jacobi matrices0
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity0
Editorial Board0
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
Log-concavity of B-splines0
Editorial Board0
“Near-best” polynomial approximation of harmonic functions on compact sets in 0
Monotonicity of zeros of derivatives of Bessel functions0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Sequences of m-term deviations in Hilbert space0
Approximation theorems on graphs0
On multiplier analogues of the algebra C0
On the representability of a continuous multivariate function by sums of ridge functions0
Singular examples of the Matrix Bochner Problem0
Chebyshev polynomials corresponding to a vanishing weight0
On semi-classical weight functions on the unit circle0
On simultaneous density order from shift invariant subspaces in Sobolev spaces0
Improved Stein inequalities for the Fourier transform0
Approximation properties of periodic multivariate quasi-interpolation operators0
Dual spaces vs. Haar measures of polynomial hypergroups0
On sharp heat kernel estimates in the context of Fourier–Dini expansions0
Entropy function and orthogonal polynomials0
Editorial Board0
Hermite–Padé approximation and integrability0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Orthonormal expansions for translation-invariant kernels0
Editorial Board0
Editorial Board0
Concentration inequalities for cross-validation in scattered data approximation0
Editorial Board0
The sharp Landau–Kolmogorov inequality for the set 0
Editorial Board0
Chebyshev polynomials in the 16th century0
Nyström subsampling for functional linear regression0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
Extension of the best polynomial operator in generalized Orlicz Spaces0
On the extremal eigenvalues of Jacobi ensembles at zero temperature0
In search of a higher Bochner theorem0
Non-compact embeddings of Sobolev spaces0
Bounds for extreme zeros of Meixner–Pollaczek polynomials0
Cosine polynomials with restrictions on their algebraic representation0
Editorial Board0
Localization for random CMV matrices0
Sampling discretization error of integral norms for function classes with small smoothness0
Twenty-five years of greedy bases0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Fourier–Zernike series of compactly supported convolutions on S0
Peter Borwein: A philosopher’s mathematician0
Randomized approximation of summable sequences — adaptive and non-adaptive0
Bump functions with monotone Fourier transforms satisfying decay bounds0
Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures0
Asymptotics for orthogonal polynomials and separation of their zeros0
Random sections of p0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
The Calderón–Mityagin property for couples of weighted Radon measures0
Editorial Board0
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators0
Generalized Bell polynomials0
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C0
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings0
Coefficient-based regularized distribution regression0
Intertwining operator associated to symmetric groups and summability on the unit sphere0
Sharp estimates for Jacobi heat kernels in conic domains0
Convergence rate for weighted polynomial approximation on the real line0
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
Function recovery on manifolds using scattered data0
Editorial Board0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
Editorial Board0
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials0
Series representations of the Volterra function and the Fransén–Robinson constant0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
Editorial Board0
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces0
Markov-type inequalities and extreme zeros of orthogonal polynomials0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Editorial Board0
Editorial Board0
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Compactness interpolation results for bilinear operators of convolution type and for operators of product type0
Editorial Board0
Quarklet characterizations for Triebel–Lizorkin spaces0
On the best uniform polynomial approximation to the checkmark function0
The Lp0
Editorial Board0
Weighted estimates for Hermite pseudo-multipliers with rough symbols0
Editorial Board0
Dedication0
Positivity of Turán determinants for orthogonal polynomials II0
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions0
The Pearcey integral in the highly oscillatory region II0
Fast rates of minimum error entropy with heavy-tailed noise0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Iterated entropy derivatives and binary entropy inequalities0
Spherical basis functions in Hardy spaces with localization constraints0
Complex spherical designs from group orbits0
Approximation error for neural network operators by an averaged modulus of smoothness0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
On some identities for confluent hypergeometric functions and Bessel functions0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
Orthogonal polynomials in weighted Bergman spaces0
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)0
Editorial Board0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Editorial Board0
Best approximation of constants by polynomials with integer coefficients0
Relations between Kondratiev spaces and refined localization Triebel–Lizorkin spaces0
Editorial Board0
Christoffel functions for multiple orthogonal polynomials0
Editorial Board0
Alternation points, weights and orthogonal polynomials0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Interpolation of functions with zero integrals over balls of fixed radius0
Sequences of dilations and translations equivalent to the Haar system in 0
Rearrangement-invariant norm inequalities for convolution operators0
WITHDRAWN: A canonical transform for strengthening the local L0
On dynamics of asymptotically minimal polynomials0
Editorial Board0
Bernstein–Szegő inequality for trigonometric polynomials in 0
Translation-based completeness on compact intervals0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
Density order of Parseval wavelet frames from extension principles0
Measure-preserving mappings from the unit cube to some symmetric spaces0
Exact L20
On planar polynomial geometric interpolation0
Approximation by sums of shifts and dilations of a single function and neural networks0
Editorial Board0
Randomized weakly admissible meshes0
On L0
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
Mean convergence of Lagrange interpolation0
Lagrange interpolation polynomials for Laguerre-type weights0
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Stable high-order randomized cubature formulae in arbitrary dimension0
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