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 2021-03-01 to 2025-03-01.)
ArticleCitations
Extended best Lp34
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters13
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering9
On(β,γ)8
Positivity of Turán determinants for orthogonal polynomials II8
Non-compact embeddings of Sobolev spaces8
A matrix version of a higher-order Szegő theorem7
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials7
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials6
Editorial Board6
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels5
Editorial Board5
The Lebesgue constants for Leja points are subexponential5
On maximal autocorrelations of Rudin–Shapiro sequences5
Editorial Board5
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)4
Chebyshev polynomials corresponding to a vanishing weight4
Randomized approximation of summable sequences — adaptive and non-adaptive4
Factorization of Hermite subdivision operators from polynomial over-reproduction4
Editorial4
Log-concavity of B-splines4
Chebyshev polynomials in the 16th century4
In memory of Peter Borwein4
Editorial Board4
On sharp heat kernel estimates in the context of Fourier–Dini expansions4
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions4
Polynomial approximation on disjoint segments and amplification of approximation3
Lower bounds for piecewise polynomial approximations of oscillatory functions3
Nonlinear steepest descent approach to orthogonality on elliptic curves3
A CMV connection between orthogonal polynomials on the unit circle and the real line3
On planar polynomial geometric interpolation3
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation3
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets3
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C3
A statistical learning assessment of Huber regression3
Approximation by sums of shifts and dilations of a single function and neural networks3
Asymptotic correlations with corrections for the circular Jacobi β-ens3
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions3
Multivariate polynomial splines on generalized oranges3
In search of a higher Bochner theorem3
Series representations of the Volterra function and the Fransén–Robinson constant3
Nonlinear approximation of high-dimensional anisotropic analytic functions3
Translation-based completeness on compact intervals2
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros2
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials2
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions2
Orthogonal polynomials for self-dual weights2
s-Numbers of embeddings of weighted Wiener algebras2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces2
Editorial Board2
Strong uniqueness and alternation theorems for relative Chebyshev centers2
About essential spectra of unbounded Jacobi matrices2
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]2
Editorial Board2
Editorial Board2
On a conjecture concerning interpolation by bivariate Bernstein polynomials2
Editorial Board2
Editorial Board2
Quasi-uniform designs with optimal and near-optimal uniformity constant2
Entropy function and orthogonal polynomials2
Editorial Board2
About families of orthogonal polynomials satisfying Heun’s differential equation2
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces2
Negative results in coconvex approximation of periodic functions2
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation2
On the asymptotic behavior of Jacobi polynomials with first varying parameter1
Approximation of functions with small mixed smoothness in the uniform norm1
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation1
Randomized weakly admissible meshes1
Coefficient-based regularized distribution regression1
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros1
Editorial Board1
Kolmogorov widths of an intersection of a family of balls in a mixed norm1
Localization for random CMV matrices1
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)1
Editorial Board1
On the representability of a continuous multivariate function by sums of ridge functions1
Editorial Board1
Absolute minima of potentials of certain regular spherical configurations1
Mean convergence of Lagrange interpolation1
Optimal dual quantizers of 1D 1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials1
Spherical basis functions in Hardy spaces with localization constraints1
The Landau–Kolmogorov problem on a finite interval in the Taikov case1
Approximating the derivative of manifold-valued functions1
On the optimal constants in the two-sided Stechkin inequalities1
Onesided Korovkin approximation1
Explicit bounds for even moments of Bernstein’s polynomials1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity1
Fourier–Zernike series of compactly supported convolutions on S1
Editorial Board1
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings1
Spectral properties of a class of Moran measures on 1
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces1
Weighted embeddings for function spaces associated with Hermite expansions1
“Near-best” polynomial approximation of harmonic functions on compact sets in 1
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions1
On dynamics of asymptotically minimal polynomials1
On the condition of cubic B-splines1
Editorial Board1
Compact cubic splines1
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings1
Editorial Board1
Counterexamples in isometric theory of symmetric and greedy bases1
The Lp1
Editorial Board1
Markov-type inequalities and extreme zeros of orthogonal polynomials1
Editorial Board1
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?1
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights1
Editorial Board1
On some identities for confluent hypergeometric functions and Bessel functions1
Improved Stein inequalities for the Fourier transform1
Bump functions with monotone Fourier transforms satisfying decay bounds1
In memory of Peter Borwein1
Christoffel functions for multiple orthogonal polynomials1
Sharp Lp1
Sequences of dilations and translations equivalent to the Haar system in 1
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse1
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 1
Editorial Board0
Complex Jacobi matrices generated by Darboux transformations0
Editorial Board0
Absorbing–reflecting factorizations for birth–death chains on the integers and their Darboux transformations0
Editorial Board0
Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles0
Approximation theorems on graphs0
An approximate functional equation for the Riemann zeta function with exponentially decaying error0
Concentration inequalities for cross-validation in scattered data approximation0
Kernel gradient descent algorithm for information theoretic learning0
Gaussian quadrature formulae are strongly asymptotically optimal for a class of infinitely differentiable functions0
On sparse recovery algorithms in unions of orthonormal bases0
Alternation points, weights and orthogonal polynomials0
Approximating the pth root by composite rational functions0
Generalized Bell polynomials0
On the approximation of functions in C<0
Cosine polynomials with restrictions on their algebraic representation0
An intersection representation for a class of anisotropic vector-valued function spaces0
Random sections of p0
Editorial Board0
Asymptotically optimal cubature formulas on manifolds for prefixed weights0
A superposition theorem of Kolmogorov type for bounded continuous functions0
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences0
Asymptotics of sharp constants in Markov–Bernstein–Nikolskii type inequalities with exponential weights0
A modified Christoffel function and its asymptotic properties0
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces0
Editorial Board0
Harmonic analysis of little q-Legendre polynomials0
Density order of Parseval wavelet frames from extension principles0
In Memoriam: Peter Benjamin Borwein (1953–2020)0
On modular approximants in sequential convergence spaces0
Editorial Board0
Approximation error for neural network operators by an averaged modulus of smoothness0
Minimal projections onto subspaces generated by sign-matrices0
An asymptotic development of the Poisson integral for Laguerre polynomial expansions0
Hard edge statistics of products of Pólya ensembles and shifted GUE’s0
Classification of 2-orthogonal polynomials with Brenke type generating functions0
Optimization-aided construction of multivariate Chebyshev polynomials0
Editorial Board0
Sampling discretization error of integral norms for function classes with small smoothness0
Bernstein–Szegő inequality for trigonometric polynomials in 0
Hermite–Padé approximation and integrability0
Multiplicity of zeros of polynomials0
A simple upper bound for Lebesgue constants associated with Leja points on the real line0
Inradius of random lemniscates0
Weighted Lp0
Editorial Board0
Smoothness of subspace sections of the unit balls of C0
Peter Borwein: A philosopher’s mathematician0
Distributed learning and distribution regression of coefficient regularization0
Estimations of singular functions of kernel cross-covariance operators0
Intertwining operator associated to symmetric groups and summability on the unit sphere0
Approximation properties of periodic multivariate quasi-interpolation operators0
Bispectrality of Meixner type polynomials0
Spectral decomposition of H<0
H-sets for kernel-based spaces0
Stable high-order randomized cubature formulae in arbitrary dimension0
Fast rates of minimum error entropy with heavy-tailed noise0
Function recovery on manifolds using scattered data0
Lagrange interpolation polynomials for Laguerre-type weights0
Richard S. Varga October 9, 1928 – February 25, 20220
Geometric computation of Christoffel functions on planar convex domains0
Editorial Board0
Estimates for the modulus of continuity in the Jacobi frame0
The sharp Landau–Kolmogorov inequality for the set 0
Measure of noncompactness of Sobolev embeddings on strip-like domains0
Strictly positive definite functions on spheres0
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation0
WITHDRAWN: A canonical transform for strengthening the local L0
Exact L20
The derivatives of the heat kernel on complete manifolds0
Infinite-dimensional integration and L0
Quarklet characterizations for Triebel–Lizorkin spaces0
Comonotone approximation of periodic functions0
Asymptotics for orthogonal polynomials and separation of their zeros0
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm0
Codimension 1 minimal projections onto the lines in L0
Editorial Board0
Orthogonal polynomials in weighted Bergman spaces0
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures0
Mean convergence of Fourier–Akhiezer–Chebyshev series0
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation0
Editorial Board0
Editorial Board0
Editorial Board0
The Machado–Bishop theorem in the uniform topology0
On the representing measures of Dunkl’s intertwining operator0
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity0
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms0
Editorial Board0
On the best uniform polynomial approximation to the checkmark function0
Extremal polynomials on a Jordan arc0
Bernstein-type constants for approximation of |0
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)0
Signal separation under coherent dictionaries and 0
Bernstein inequality on conic domains and triangles0
Complex spherical designs from group orbits0
Matrix-valued orthogonal polynomials related to hexagon tilings0
Besov spaces with generalized smoothness and summability of multiple Fourier series0
On some measures of non-compactness associated to Banach operator ideals0
Editorial Board0
A dual-type problem to Christoffel function0
Estimates of entropy for multiplier operators of systems of orthonormal functions0
Distribution of the zeros of polynomials near the unit circle0
Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions0
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators0
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle0
Editorial Board0
Editorial Board0
A note on K-functional, Modulus of smoothness, Jackson theorem and Ber0
Dual spaces vs. Haar measures of polynomial hypergroups0
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 0
Telescoping continued fractions for the error term in Stirling’s formula0
Turán’s inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials0
Error bounds for the method of simultaneous projections with infinitely many subspaces0
Weighted estimates for Hermite pseudo-multipliers with rough symbols0
Orthonormal expansions for translation-invariant kernels0
Proximinality and uniformly approximable sets in L0
Analytical study of the pantograph equation using Jacobi theta functions0
Editorial Board0
Editorial Board0
Editorial Board0
Norm estimates for Chebyshev polynomials, I0
On approximation by rational functions in Musielak–Orlicz spaces0
Editorial Board0
Sharp estimates for Jacobi heat kernels in conic domains0
Strong converse inequality for linear combinations of Szász-Mirakjan operators0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
Monotonicity of zeros of derivatives of Bessel functions0
Editorial Board0
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