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 2021-11-01 to 2025-11-01.)
ArticleCitations
Editorial53
Asymptotic correlations with corrections for the circular Jacobi β-ens13
On maximal autocorrelations of Rudin–Shapiro sequences10
On(β,γ)9
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions8
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions8
The Lebesgue constants for Leja points are subexponential7
Approximating the derivative of manifold-valued functions7
Editorial Board7
On a conjecture concerning interpolation by bivariate Bernstein polynomials6
Counterexamples in isometric theory of symmetric and greedy bases5
Editorial Board5
On the asymptotic behavior of Jacobi polynomials with first varying parameter5
Editorial Board5
Comonotone approximation of periodic functions4
Editorial Board4
Approximation of functions with small mixed smoothness in the uniform norm4
Minimal projections onto subspaces generated by sign-matrices4
Spectral properties of a class of Moran measures on 4
Explicit bounds for even moments of Bernstein’s polynomials4
Bernstein-type inequalities for mean n-valent functions4
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?4
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse4
Editorial Board4
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles3
Estimates for the modulus of continuity in the Jacobi frame3
Interpolation of compact multilinear operators between quasi-Banach spaces3
Wavelet characterization of Triebel–Lizorkin spaces for p3
Asymptotically optimal cubature formulas on manifolds for prefixed weights3
Exact asymptotic order for generalised adaptive approximations3
Richard S. Varga October 9, 1928 – February 25, 20223
Extremal polynomials on the n-grid3
Strictly positive definite functions on spheres2
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)2
Editorial Board2
A point process on the unit circle with antipodal interactions2
Lower bounds for piecewise polynomial approximations of oscillatory functions2
On some measures of non-compactness associated to Banach operator ideals2
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
Besov spaces with generalized smoothness and summability of multiple Fourier series2
Bernstein-type constants for approximation of |2
Minimax and maximin problems for sums of translates on the real axis2
Spectral decomposition of H<2
Estimates for entropy numbers of sets of smooth functions on complex spheres2
Mean convergence of Fourier–Akhiezer–Chebyshev series2
On the condition of cubic B-splines1
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces1
Orthogonal polynomials for self-dual weights1
Absolute minima of potentials of certain regular spherical configurations1
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters1
Runge-type approximation theorem for Banach-valued H1
Compact cubic splines1
Exact L21
Editorial Board1
Sharp Lp1
Gap probability for products of random matrices in the critical regime1
Editorial Board1
The derivatives of the heat kernel on complete manifolds1
Inradius of random lemniscates1
Editorial Board1
s-Numbers of embeddings of weighted Wiener algebras1
A statistical learning assessment of Huber regression1
Multivariate polynomial splines on generalized oranges1
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces1
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation1
Proximinality and uniformly approximable sets in L1
Extremal polynomials on a Jordan arc1
A modified Christoffel function and its asymptotic properties1
Estimates of linear expressions through factorization1
Harmonic analysis of little q-Legendre polynomials1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials1
In memory of Peter Borwein1
Extended best Lp1
Polynomial approximation on disjoint segments and amplification of approximation1
Nonlinear steepest descent approach to orthogonality on elliptic curves1
Optimization-aided construction of multivariate Chebyshev polynomials1
On approximation by rational functions in Musielak–Orlicz spaces1
Nyström subsampling for functional linear regression1
Telescoping continued fractions for the error term in Stirling’s formula1
Chebyshev unions of planes, and their approximative and geometric properties1
Editorial Board1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
Editorial Board0
On simultaneous density order from shift invariant subspaces in Sobolev spaces0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Rearrangement-invariant norm inequalities for convolution operators0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Editorial Board0
Bernstein–Szegő inequality for trigonometric polynomials in 0
Editorial Board0
Editorial Board0
On dynamics of asymptotically minimal polynomials0
Alternation points, weights and orthogonal polynomials0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
On L0
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials0
Editorial Board0
Non-compact embeddings of Sobolev spaces0
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces0
Markov-type inequalities and extreme zeros of orthogonal polynomials0
Iterated entropy derivatives and binary entropy inequalities0
Editorial Board0
Localization for random CMV matrices0
Weighted Lp0
Sampling discretization error of integral norms for function classes with small smoothness0
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)0
Lagrange interpolation polynomials for Laguerre-type weights0
Stable high-order randomized cubature formulae in arbitrary dimension0
Orthogonal polynomials in weighted Bergman spaces0
Spherical basis functions in Hardy spaces with localization constraints0
Approximation by sums of shifts and dilations of a single function and neural networks0
Editorial Board0
H-sets for kernel-based spaces0
Onesided Korovkin approximation0
Cosine polynomials with restrictions on their algebraic representation0
Function recovery on manifolds using scattered data0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Infinite-dimensional integration and L0
Sequences of dilations and translations equivalent to the Haar system in 0
Relations between Kondratiev spaces and refined localization Triebel–Lizorkin spaces0
Editorial Board0
On semi-classical weight functions on the unit circle0
Translation-based completeness on compact intervals0
Christoffel functions for multiple orthogonal polynomials0
Singular examples of the Matrix Bochner Problem0
Editorial Board0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Log-concavity of B-splines0
Hermite–Padé approximation and integrability0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Editorial Board0
Editorial Board0
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
On the representability of a continuous multivariate function by sums of ridge functions0
Monotonicity of zeros of derivatives of Bessel functions0
Compactness interpolation results for bilinear operators of convolution type and for operators of product type0
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms0
Editorial Board0
Coefficient-based regularized distribution regression0
Editorial Board0
Measure-preserving mappings from the unit cube to some symmetric spaces0
Editorial Board0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
On some identities for confluent hypergeometric functions and Bessel functions0
The Lp0
Editorial Board0
Approximating positive homogeneous functions with scale invariant neural networks0
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences0
Fast rates of minimum error entropy with heavy-tailed noise0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Chebyshev polynomials corresponding to a vanishing weight0
Editorial Board0
Fourier–Zernike series of compactly supported convolutions on S0
Approximation error for neural network operators by an averaged modulus of smoothness0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Editorial Board0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle0
Best approximation of constants by polynomials with integer coefficients0
Sharp estimates for Jacobi heat kernels in conic domains0
Weighted estimates for Hermite pseudo-multipliers with rough symbols0
Interpolation of functions with zero integrals over balls of fixed radius0
Editorial Board0
Asymptotics for orthogonal polynomials and separation of their zeros0
Extension of the best polynomial operator in generalized Orlicz Spaces0
Editorial Board0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
Dual spaces vs. Haar measures of polynomial hypergroups0
Bounds for extreme zeros of Meixner–Pollaczek polynomials0
On multiplier analogues of the algebra C0
Complex spherical designs from group orbits0
Hard edge statistics of products of Pólya ensembles and shifted GUE’s0
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
Distribution of the zeros of polynomials near the unit circle0
Intertwining operator associated to symmetric groups and summability on the unit sphere0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Universal discretization and sparse recovery0
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials0
Editorial Board0
On a lemma by Brézis and Haraux0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
Editorial Board0
The Calderón–Mityagin property for couples of weighted Radon measures0
Entropy function and orthogonal polynomials0
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity0
Invertible and Fredholm operators on interpolation scales0
In Memoriam: Konstantin Il’ich Oskolkov February 17, 1946–August 24, 20240
Orthogonal polynomials on the real line generated by the parameter sequences for a given non-single parameter positive chain sequence0
In search of a higher Bochner theorem0
About essential spectra of unbounded Jacobi matrices0
On the approximation of functions in C<0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
Editorial Board0
Dedication0
“Near-best” polynomial approximation of harmonic functions on compact sets in 0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
Editorial Board0
Concentration inequalities for cross-validation in scattered data approximation0
On the best uniform polynomial approximation to the checkmark function0
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
Randomized weakly admissible meshes0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Editorial Board0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
Mean convergence of Lagrange interpolation0
A lower bound for the Lebesgue constant of the Morrow–Patterson points0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Editorial Board0
Randomized approximation of summable sequences — adaptive and non-adaptive0
Quarklet characterizations for Triebel–Lizorkin spaces0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Peter Borwein: A philosopher’s mathematician0
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions0
Convergence rate for weighted polynomial approximation on the real line0
Editorial Board0
Asymptotics of Bergman polynomials for domains with reflection-invariant corners0
A note on diffusion limits for stochastic gradient descent0
Matrix valued orthogonal polynomials arising from hexagon tilings with 3 × 3-periodic weightings0
Orthonormal expansions for translation-invariant kernels0
Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures0
Chebyshev polynomials in the 16th century0
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings0
On the extremal eigenvalues of Jacobi ensembles at zero temperature0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Sequences of m-term deviations in Hilbert space0
Improved Stein inequalities for the Fourier transform0
Twenty-five years of greedy bases0
WITHDRAWN: A canonical transform for strengthening the local L0
The sharp Landau–Kolmogorov inequality for the set 0
The Pearcey integral in the highly oscillatory region II0
On planar polynomial geometric interpolation0
Series representations of the Volterra function and the Fransén–Robinson constant0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
On sharp heat kernel estimates in the context of Fourier–Dini expansions0
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Bump functions with monotone Fourier transforms satisfying decay bounds0
Global rational approximations of functions with factorially divergent asymptotic series0
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