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 2022-06-01 to 2026-06-01.)
ArticleCitations
Editorial14
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions11
Editorial Board8
The Lebesgue constants for Leja points are subexponential8
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions8
The sequence of partial sums of a unimodular power series is not ultraflat7
On maximal autocorrelations of Rudin–Shapiro sequences7
Editorial Board6
Editorial Board6
A 3 × 3 singular solution to the Matrix Bochner Problem with 6
On a conjecture concerning interpolation by bivariate Bernstein polynomials6
Counterexamples in isometric theory of symmetric and greedy bases5
Spectral properties of a class of Moran measures on 5
Approximating the derivative of manifold-valued functions5
Editorial Board5
Editorial Board5
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?4
Minimal projections onto subspaces generated by sign-matrices4
Richard S. Varga October 9, 1928 – February 25, 20224
Comonotone approximation of periodic functions4
Bernstein-type inequalities for mean n-valent functions4
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse4
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces4
On positive Jacobi matrices with compact inverses4
Wavelet characterization of Triebel–Lizorkin spaces for p4
Strictly positive definite functions of finite orders and multivariate polynomial interpolation3
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles3
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)3
Spectral decomposition of H<3
A point process on the unit circle with antipodal interactions3
Lower bounds for piecewise polynomial approximations of oscillatory functions3
On some measures of non-compactness associated to Banach operator ideals3
2-strong uniqueness of a best approximation and of minimal projections in complex polytope norms and their duals3
Bernstein-type constants for approximation of |x|α by partial Fourier–Legendre and Fourier–Chebyshev sums3
Interpolation of compact multilinear operators between quasi-Banach spaces3
Minimax and maximin problems for sums of translates on the real axis3
Besov spaces with generalized smoothness and summability of multiple Fourier series3
Editorial Board3
Strictly positive definite functions on spheres3
Extremal polynomials on the n 3
Exact asymptotic order for generalised adaptive approximations3
Mean convergence of Fourier–Akhiezer–Chebyshev series3
Bernstein inequality on conic domains and triangles3
Estimates for entropy numbers of sets of smooth functions on complex spheres3
Editorial Board2
Editorial Board2
Extended best 2
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels2
Editorial Board2
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces2
On approximation by rational functions in Musielak–Orlicz spaces2
Runge-type approximation theorem for Banach-valued 2
In memory of Peter Borwein2
Uniform approximation of vectors using adaptive randomized information2
Multivariate polynomial splines on generalized oranges2
Orthogonal polynomials for self-dual weights2
Compact cubic splines2
s-Numbers of embeddings of weighted Wiener algebras2
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation2
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials2
Asymptotics of the Humbert functions 2
Intrinsic interpolation, near-circularity and maximal convergence2
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters2
Absolute minima of potentials of certain regular spherical configurations2
Polynomial approximation on disjoint segments and amplification of approximation2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Optimization-aided construction of multivariate Chebyshev polynomials2
On the condition of cubic B-splines2
Approximation by sums of shifts and dilations of a single function and neural networks1
Proximinality and uniformly approximable sets in L1
Interpolation of functions with zero integrals over balls of fixed radius1
Sharp Lp1
Editorial Board1
Telescoping continued fractions for the error term in Stirling’s formula1
The derivatives of the heat kernel on complete manifolds1
On C. Michel’s hypothesis about the modulus of typically real polynomials1
On LR2-best rational approximants to Markov functions on several intervals1
About essential spectra of unbounded Jacobi matrices1
Edge detection with polynomial frames on the sphere1
Nyström subsampling for functional linear regression1
The Calderón–Mityagin property for couples of weighted Radon measures1
Quarklet characterizations for Triebel–Lizorkin spaces1
On the representability of a continuous multivariate function by sums of ridge functions1
Best approximations and their extensions in Lorentz Gamma spaces1
On sharp heat kernel estimates in the context of Fourier–Dini expansions1
Editorial Board1
Editorial Board1
A modified Christoffel function and its asymptotic properties1
The Pearcey integral in the highly oscillatory region II1
Chebyshev unions of planes, and their approximative and geometric properties1
Sharp lower bounds on interpolation by deep ReLU neural networks at irregularly spaced data1
Exact L21
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences1
Coefficient-based regularized distribution regression1
Universal discretization and sparse recovery1
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle1
Editorial Board1
Lagrange interpolation polynomials for Laguerre-type weights1
Log-concavity of B-splines1
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity1
On simultaneous density order from shift invariant subspaces in Sobolev spaces1
Inradius of random lemniscates1
Orthogonal polynomials on the real line generated by the parameter sequences for a given non-single parameter positive chain sequence1
Estimates of linear expressions through factorization1
Editorial Board1
Harmonic analysis of little q-Legendre polynomials1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms1
Rearrangement-invariant norm inequalities for convolution operators1
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C1
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces1
Editorial Board1
B-splines approximate the Gaussian density and Hermite functions in Schwartz seminorms1
Widom factors in 0
The Lp0
Complex spherical designs from group orbits0
Editorial Board0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Randomized approximation of summable sequences — adaptive and non-adaptive0
Chebyshev polynomials corresponding to a vanishing weight0
Distribution of the zeros of polynomials near the unit circle0
Function recovery on manifolds using scattered data0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Editorial Board0
Editorial Board0
On asymptotic properties of certain B 0
Global rational approximations of functions with factorially divergent asymptotic series0
Sampling discretization error of integral norms for function classes with small smoothness0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
Editorial Board0
Comparing the degree of constrained and unconstrained trigonometric approximation0
On a lemma by Brézis and Haraux0
Asymptotics of Bergman polynomials for domains with reflection-invariant corners0
Fast rates of minimum error entropy with heavy-tailed noise0
Chebyshev polynomials in the 16th century0
On multiplier analogues of the algebra 0
Editorial Board0
The sharp Landau–Kolmogorov inequality for the set 0
In memory of Peter Borwein0
Orthonormal expansions for translation-invariant kernels0
Randomized weakly admissible meshes0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
The molecular characterizations of variable Triebel–Lizorkin spaces associated with the Hermite operator and its applications0
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets0
Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures0
Random sampling and polynomial-free interpolation by Generalized MultiQuadrics0
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities0
In Memoriam: Konstantin Il’ich Oskolkov February 17, 1946–August 24, 20240
Alternation points, weights and orthogonal polynomials0
On sparse recovery algorithms in unions of orthonormal bases0
A lower bound for the Lebesgue constant of the Morrow–Patterson points0
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions0
Editorial Board0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
On semi-classical weight functions on the unit circle0
Generalized Bell polynomials0
Editorial Board0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Matrix valued orthogonal polynomials arising from hexagon tilings with 3 × 3-periodic weightings0
Smoothness and time–frequency analysis in Sobolev–Besicovitch spaces of almost periodic functions0
Weighted estimates for dyadic maximal operators0
Duality and interpolation spaces0
Relations between Kondratiev spaces and refined localization Triebel–Lizorkin spaces0
Non-compact embeddings of Sobolev spaces0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions0
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering0
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity0
Singular examples of the Matrix Bochner Problem0
Polynomial approximation in 0
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
On dynamics of asymptotically minimal polynomials0
On some identities for confluent hypergeometric functions and Bessel functions0
Invertible and Fredholm operators on interpolation scales0
Sharp estimates for Jacobi heat kernels in conic domains0
An electrostatic model for the roots of discrete classical orthogonal polynomials0
The Landau–Kolmogorov problem on a finite interval in the Taikov case0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
Editorial Board0
Dedication0
On the extremal eigenvalues of Jacobi ensembles at zero temperature0
Editorial Board0
Orthogonal polynomials in weighted Bergman spaces0
Sharp iteration asymptotics for transfer operators induced by greedy 0
Complex Jacobi matrices generated by Darboux transformations0
Monotonicity of zeros of derivatives of Bessel functions0
Embeddings of block-radial functions — approximation properties and nuclearity0
Editorial Board0
Codimension 1 minimal projections onto the lines in L0
Hermite–Padé approximation and integrability0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
Kolmogorov widths of an intersection of a family of balls in a mixed norm0
Editorial Board0
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines0
The Machado–Bishop theorem in the uniform topology0
Improved Stein inequalities for the Fourier transform0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
Nonlinear approximation of high-dimensional anisotropic analytic functions0
Yosida approximations of the cumulative distribution function and applications in survival analysis0
Random sections of p0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials0
Editorial Board0
Cosine polynomials with restrictions on their algebraic representation0
Editorial Board0
A characterization of completely alternating functions0
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]0
Sequences of m-term deviations in Hilbert space0
Barycentric rational interpolation method for solving 3 dimensional convection–diffusion equation0
Nevai’s condition for measures with unbounded supports0
Editorial Board0
Strong uniqueness and alternation theorems for relative Chebyshev centers0
Twenty-five years of greedy bases0
Editorial Board0
Weighted Lp0
Iterated entropy derivatives and binary entropy inequalities0
Approximating positive homogeneous functions with scale invariant neural networks0
Christoffel functions for multiple orthogonal polynomials0
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights0
Peter Borwein: A philosopher’s mathematician0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Bump functions with monotone Fourier transforms satisfying decay bounds0
Translation-based completeness on compact intervals0
Editorial Board0
On the approximation of functions in C<0
Analytical study of the pantograph equation using Jacobi theta functions0
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero0
Asymptotics for orthogonal polynomials and separation of their zeros0
Editorial Board0
Simplified uniform asymptotic expansions for associated Legendre and conical functions0
Dedication0
Dual spaces vs. Haar measures of polynomial hypergroups0
Editorial Board0
Editorial Board0
Editorial Board0
Best approximation of constants by polynomials with integer coefficients0
On the image of the limit q 0
Localization for random CMV matrices0
H-sets for kernel-based spaces0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros0
Nonlinear approximation of harmonic functions from shifts of the Newtonian kernel in BMO0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
Editorial Board0
On planar polynomial geometric interpolation0
In search of a higher Bochner theorem0
Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints0
Editorial Board0
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