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 2022-05-01 to 2026-05-01.)
ArticleCitations
Editorial14
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions13
The Lebesgue constants for Leja points are subexponential11
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions8
Editorial Board8
On maximal autocorrelations of Rudin–Shapiro sequences7
A 3 × 3 singular solution to the Matrix Bochner Problem with 7
The sequence of partial sums of a unimodular power series is not ultraflat7
On a conjecture concerning interpolation by bivariate Bernstein polynomials6
Editorial Board6
Editorial Board6
On the asymptotic behavior of Jacobi polynomials with first varying parameter6
Spectral properties of a class of Moran measures on 5
Approximating the derivative of manifold-valued functions5
Editorial Board5
Approximation of functions with small mixed smoothness in the uniform norm5
Bernstein-type inequalities for mean n-valent functions5
Counterexamples in isometric theory of symmetric and greedy bases5
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces4
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse4
Richard S. Varga October 9, 1928 – February 25, 20224
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?4
Minimal projections onto subspaces generated by sign-matrices4
2-strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals4
Editorial Board4
Comonotone approximation of periodic functions4
Wavelet characterization of Triebel–Lizorkin spaces for p4
On positive Jacobi matrices with compact inverses4
Minimax and maximin problems for sums of translates on the real axis3
Besov spaces with generalized smoothness and summability of multiple Fourier series3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles3
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 3
Bernstein-type constants for approximation of |3
Mean convergence of Fourier–Akhiezer–Chebyshev series3
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
Extremal polynomials on the n 3
Spectral decomposition of H<3
A point process on the unit circle with antipodal interactions3
Strictly positive definite functions of finite orders and multivariate polynomial interpolation3
Exact asymptotic order for generalised adaptive approximations3
On some measures of non-compactness associated to Banach operator ideals3
Editorial Board3
Lower bounds for piecewise polynomial approximations of oscillatory functions2
Asymptotics of the Humbert functions 2
Multivariate polynomial splines on generalized oranges2
Harmonic analysis of little q-Legendre polynomials2
On approximation by rational functions in Musielak–Orlicz spaces2
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces2
Compact cubic splines2
Intrinsic interpolation, near-circularity and maximal convergence2
Extended best 2
Polynomial approximation on disjoint segments and amplification of approximation2
Uniform approximation of vectors using adaptive randomized information2
Editorial Board2
On the condition of cubic B-splines2
Optimization-aided construction of multivariate Chebyshev polynomials2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Absolute minima of potentials of certain regular spherical configurations2
Editorial Board2
Editorial Board2
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters2
Estimates for entropy numbers of sets of smooth functions on complex spheres2
Orthogonal polynomials for self-dual weights2
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials2
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation2
Runge-type approximation theorem for Banach-valued 2
s-Numbers of embeddings of weighted Wiener algebras2
In memory of Peter Borwein2
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels2
Nyström subsampling for functional linear regression1
Sharp Lp1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
Edge detection with polynomial frames on the sphere1
Editorial Board1
The Calderón–Mityagin property for couples of weighted Radon measures1
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity1
On the representability of a continuous multivariate function by sums of ridge functions1
About essential spectra of unbounded Jacobi matrices1
On sharp heat kernel estimates in the context of Fourier–Dini expansions1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms1
Lagrange interpolation polynomials for Laguerre-type weights1
The Pearcey integral in the highly oscillatory region II1
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle1
Proximinality and uniformly approximable sets in L1
Telescoping continued fractions for the error term in Stirling’s formula1
A modified Christoffel function and its asymptotic properties1
The derivatives of the heat kernel on complete manifolds1
Universal discretization and sparse recovery1
Editorial Board1
Editorial Board1
Editorial Board1
Log-concavity of B-splines1
Rearrangement-invariant norm inequalities for convolution operators1
On simultaneous density order from shift invariant subspaces in Sobolev spaces1
Orthogonal polynomials on the real line generated by the parameter sequences for a given non-single parameter positive chain sequence1
Quarklet characterizations for Triebel–Lizorkin spaces1
Concentration inequalities for cross-validation in scattered data approximation1
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces1
Chebyshev unions of planes, and their approximative and geometric properties1
Estimates of linear expressions through factorization1
Inradius of random lemniscates1
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C1
Exact L21
Editorial Board1
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences1
Approximation by sums of shifts and dilations of a single function and neural networks1
Interpolation of functions with zero integrals over balls of fixed radius1
Best approximations and their extensions in Lorentz Gamma spaces1
Editorial Board1
On L1
Sharp lower bounds on interpolation by deep ReLU neural networks at irregularly spaced data1
On a lemma by Brézis and Haraux0
Alternation points, weights and orthogonal polynomials0
A characterization of completely alternating functions0
Sequences of m-term deviations in Hilbert space0
Nevai’s condition for measures with unbounded supports0
Iterated entropy derivatives and binary entropy inequalities0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
Generalized Bell polynomials0
Weighted Lp0
Random sections of p0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Editorial Board0
Editorial Board0
Cosine polynomials with restrictions on their algebraic representation0
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
Monotonicity of zeros of derivatives of Bessel functions0
Distribution of the zeros of polynomials near the unit circle0
Dedication0
Editorial Board0
Weighted estimates for dyadic maximal operators0
Bump functions with monotone Fourier transforms satisfying decay bounds0
An electrostatic model for the roots of discrete classical orthogonal polynomials0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
A note on diffusion limits for stochastic gradient descent0
Editorial Board0
Editorial Board0
Editorial Board0
Editorial Board0
Randomized weakly admissible meshes0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity0
Approximating positive homogeneous functions with scale invariant neural networks0
Translation-based completeness on compact intervals0
Sampling discretization error of integral norms for function classes with small smoothness0
Editorial Board0
Asymptotics for orthogonal polynomials and separation of their zeros0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
The molecular characterizations of variable Triebel–Lizorkin spaces associated with the Hermite operator and its applications0
Editorial Board0
Embeddings of block-radial functions — approximation properties and nuclearity0
Editorial Board0
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Editorial Board0
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Editorial Board0
Chebyshev polynomials corresponding to a vanishing weight0
Smoothness and time–frequency analysis in Sobolev–Besicovitch spaces of almost periodic functions0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Chebyshev polynomials in the 16th century0
In search of a higher Bochner theorem0
Analytical study of the pantograph equation using Jacobi theta functions0
Orthonormal expansions for translation-invariant kernels0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
In Memoriam: Konstantin Il’ich Oskolkov February 17, 1946–August 24, 20240
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Editorial Board0
Complex spherical designs from group orbits0
Fast rates of minimum error entropy with heavy-tailed noise0
Editorial Board0
Randomized approximation of summable sequences — adaptive and non-adaptive0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
On semi-classical weight functions on the unit circle0
On the approximation of functions in C<0
Global rational approximations of functions with factorially divergent asymptotic series0
Editorial Board0
On some identities for confluent hypergeometric functions and Bessel functions0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Hermite–Padé approximation and integrability0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
Editorial Board0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
Comparing the degree of constrained and unconstrained trigonometric approximation0
Sharp estimates for Jacobi heat kernels in conic domains0
Localization for random CMV matrices0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
Asymptotics of Bergman polynomials for domains with reflection-invariant corners0
Complex Jacobi matrices generated by Darboux transformations0
Improved Stein inequalities for the Fourier transform0
Best approximation of constants by polynomials with integer coefficients0
Nonlinear approximation of harmonic functions from shifts of the Newtonian kernel in BMO0
On planar polynomial geometric interpolation0
Dual spaces vs. Haar measures of polynomial hypergroups0
On dynamics of asymptotically minimal polynomials0
Codimension 1 minimal projections onto the lines in L0
Singular examples of the Matrix Bochner Problem0
Editorial Board0
The Lp0
On the image of the limit q 0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
H-sets for kernel-based spaces0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
The Machado–Bishop theorem in the uniform topology0
Polynomial approximation in 0
In memory of Peter Borwein0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
Function recovery on manifolds using scattered data0
Matrix valued orthogonal polynomials arising from hexagon tilings with 3 × 3-periodic weightings0
Sharp iteration asymptotics for transfer operators induced by greedy 0
On sparse recovery algorithms in unions of orthonormal bases0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Relations between Kondratiev spaces and refined localization Triebel–Lizorkin spaces0
Editorial Board0
Non-compact embeddings of Sobolev spaces0
Editorial Board0
Widom factors in 0
Twenty-five years of greedy bases0
The sharp Landau–Kolmogorov inequality for the set 0
Invertible and Fredholm operators on interpolation scales0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
Christoffel functions for multiple orthogonal polynomials0
Editorial Board0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
Editorial Board0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
Coefficient-based regularized distribution regression0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
On multiplier analogues of the algebra 0
Peter Borwein: A philosopher’s mathematician0
On the extremal eigenvalues of Jacobi ensembles at zero temperature0
Orthogonal polynomials in weighted Bergman spaces0
A lower bound for the Lebesgue constant of the Morrow–Patterson points0
Simplified uniform asymptotic expansions for associated Legendre and conical functions0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings0
Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Editorial Board0
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