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 2021-09-01 to 2025-09-01.)
ArticleCitations
Editorial49
The Lebesgue constants for Leja points are subexponential12
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions10
On(β,γ)9
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions9
On maximal autocorrelations of Rudin–Shapiro sequences8
Asymptotic correlations with corrections for the circular Jacobi β-ens8
On a conjecture concerning interpolation by bivariate Bernstein polynomials7
Approximating the derivative of manifold-valued functions7
Editorial Board7
Editorial Board7
Approximation of functions with small mixed smoothness in the uniform norm7
On the asymptotic behavior of Jacobi polynomials with first varying parameter6
Editorial Board5
Counterexamples in isometric theory of symmetric and greedy bases5
Minimal projections onto subspaces generated by sign-matrices4
Editorial Board4
Spectral properties of a class of Moran measures on 4
Richard S. Varga October 9, 1928 – February 25, 20224
Exact asymptotic order for generalised adaptive approximations4
Editorial Board4
Explicit bounds for even moments of Bernstein’s polynomials4
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles4
Extremal polynomials on the n-grid4
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse4
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
Wavelet characterization of Triebel–Lizorkin spaces for p4
Bernstein inequality on conic domains and triangles3
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)3
Interpolation of compact multilinear operators between quasi-Banach spaces3
Strictly positive definite functions on spheres3
Mean convergence of Fourier–Akhiezer–Chebyshev series3
Asymptotically optimal cubature formulas on manifolds for prefixed weights3
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 3
On some measures of non-compactness associated to Banach operator ideals3
Editorial Board3
Editorial Board3
A superposition theorem of Kolmogorov type for bounded continuous functions3
Bernstein-type constants for approximation of |3
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters2
Multivariate polynomial splines on generalized oranges2
Spectral decomposition of H<2
In memory of Peter Borwein2
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials2
On approximation by rational functions in Musielak–Orlicz spaces2
Optimization-aided construction of multivariate Chebyshev polynomials2
s-Numbers of embeddings of weighted Wiener algebras2
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces2
Polynomial approximation on disjoint segments and amplification of approximation2
Extended best Lp2
Lower bounds for piecewise polynomial approximations of oscillatory functions2
A point process on the unit circle with antipodal interactions2
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels2
Runge-type approximation theorem for Banach-valued H2
On the condition of cubic B-splines2
Orthogonal polynomials for self-dual weights2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Editorial Board2
Nonlinear steepest descent approach to orthogonality on elliptic curves2
Estimates for entropy numbers of sets of smooth functions on complex spheres2
Besov spaces with generalized smoothness and summability of multiple Fourier series2
Editorial Board2
Compact cubic splines2
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation2
Editorial Board2
Absolute minima of potentials of certain regular spherical configurations2
Editorial Board2
A statistical learning assessment of Huber regression2
A modified Christoffel function and its asymptotic properties1
Inradius of random lemniscates1
Estimates of linear expressions through factorization1
Telescoping continued fractions for the error term in Stirling’s formula1
The Calderón-Mitjagin property for couples of weighted Radon measures1
On L1
Log-concavity of B-splines1
Coefficient-based regularized distribution regression1
Editorial Board1
On simultaneous density order from shift invariant subspaces in Sobolev spaces1
Editorial Board1
Concentration inequalities for cross-validation in scattered data approximation1
Approximation by sums of shifts and dilations of a single function and neural networks1
Nyström subsampling for functional linear regression1
Chebyshev unions of planes, and their approximative and geometric properties1
Extremal polynomials on a Jordan arc1
Gap probability for products of random matrices in the critical regime1
Exact L21
Proximinality and uniformly approximable sets in L1
The Pearcey integral in the highly oscillatory region II1
Quarklet characterizations for Triebel–Lizorkin spaces1
Editorial Board1
Series representations of the Volterra function and the Fransén–Robinson constant1
Bernstein–Szegő inequality for trigonometric polynomials in 1
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity1
Interpolation of functions with zero integrals over balls of fixed radius1
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle1
Editorial Board1
Sharp Lp1
The derivatives of the heat kernel on complete manifolds1
Harmonic analysis of little q-Legendre polynomials1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
On the representability of a continuous multivariate function by sums of ridge functions1
Approximation theorems on graphs1
On sharp heat kernel estimates in the context of Fourier–Dini expansions1
“Near-best” polynomial approximation of harmonic functions on compact sets in 1
Editorial Board1
Editorial Board1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms1
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences1
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C1
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces1
Lagrange interpolation polynomials for Laguerre-type weights1
Bump functions with monotone Fourier transforms satisfying decay bounds0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
Editorial Board0
Non-compact embeddings of Sobolev spaces0
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity0
Invertible and Fredholm operators on interpolation scales0
Editorial Board0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Editorial Board0
Monotonicity of zeros of derivatives of Bessel functions0
On multiplier analogues of the algebra C0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
On the best uniform polynomial approximation to the checkmark function0
Asymptotics of Bergman polynomials for domains with reflection-invariant corners0
Rearrangement-invariant norm inequalities for convolution operators0
Singular examples of the Matrix Bochner Problem0
In search of a higher Bochner theorem0
Editorial Board0
Best approximation of constants by polynomials with integer coefficients0
Sequences of m-term deviations in Hilbert space0
Editorial Board0
Entropy function and orthogonal polynomials0
Editorial Board0
Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures0
Codimension 1 minimal projections onto the lines in L0
On the approximation of functions in C<0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Alternation points, weights and orthogonal polynomials0
A simple upper bound for Lebesgue constants associated with Leja points on the real line0
Localization for random CMV matrices0
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators0
On semi-classical weight functions on the unit circle0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
Improved Stein inequalities for the Fourier transform0
Generalized Bell polynomials0
Editorial Board0
Cosine polynomials with restrictions on their algebraic representation0
Intertwining operator associated to symmetric groups and summability on the unit sphere0
Editorial Board0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Convergence rate for weighted polynomial approximation on the real line0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Analytical study of the pantograph equation using Jacobi theta functions0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
Random sections of p0
Stable high-order randomized cubature formulae in arbitrary dimension0
Chebyshev polynomials corresponding to a vanishing weight0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Editorial Board0
Markov-type inequalities and extreme zeros of orthogonal polynomials0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
Orthonormal expansions for translation-invariant kernels0
Sequences of dilations and translations equivalent to the Haar system in 0
Fast rates of minimum error entropy with heavy-tailed noise0
Sampling discretization error of integral norms for function classes with small smoothness0
On the optimal constants in the two-sided Stechkin inequalities0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
The sharp Landau–Kolmogorov inequality for the set 0
Asymptotics for orthogonal polynomials and separation of their zeros0
On some identities for confluent hypergeometric functions and Bessel functions0
Function recovery on manifolds using scattered data0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Density order of Parseval wavelet frames from extension principles0
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
On the extremal eigenvalues of Jacobi ensembles at zero temperature0
Editorial Board0
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities0
Editorial Board0
Measure of noncompactness of Sobolev embeddings on strip-like domains0
Editorial Board0
Strong converse inequality for linear combinations of Szász-Mirakjan operators0
Fourier–Zernike series of compactly supported convolutions on S0
Dual spaces vs. Haar measures of polynomial hypergroups0
Complex Jacobi matrices generated by Darboux transformations0
On dynamics of asymptotically minimal polynomials0
Simplified uniform asymptotic expansions for associated Legendre and conical functions0
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
The Lp0
Complex spherical designs from group orbits0
Iterated entropy derivatives and binary entropy inequalities0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Editorial Board0
Distribution of the zeros of polynomials near the unit circle0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Positivity of Turán determinants for orthogonal polynomials II0
Christoffel functions for multiple orthogonal polynomials0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
Twenty-five years of greedy bases0
Editorial Board0
Editorial Board0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
WITHDRAWN: A canonical transform for strengthening the local L0
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings0
Editorial Board0
Peter Borwein: A philosopher’s mathematician0
About essential spectra of unbounded Jacobi matrices0
On planar polynomial geometric interpolation0
Approximation properties of periodic multivariate quasi-interpolation operators0
Orthogonal polynomials in weighted Bergman spaces0
In memory of Peter Borwein0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
Editorial Board0
H-sets for kernel-based spaces0
On sparse recovery algorithms in unions of orthonormal bases0
Translation-based completeness on compact intervals0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures0
Editorial Board0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Compactness interpolation results for bilinear operators of convolution type and for operators of product type0
Editorial Board0
The Machado–Bishop theorem in the uniform topology0
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
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Matrix-valued orthogonal polynomials related to hexagon tilings0
Dedication0
Relations between Kondratiev spaces and refined localization Triebel–Lizorkin spaces0
Hermite–Padé approximation and integrability0
Editorial Board0
Editorial Board0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Approximation error for neural network operators by an averaged modulus of smoothness0
On the representing measures of Dunkl’s intertwining operator0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
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