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 2020-04-01 to 2024-04-01.)
ArticleCitations
Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel–Lizorkin spaces22
A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution17
Properties of moduli of smoothness inL16
A statistical learning assessment of Huber regression12
Sampling, Marcinkiewicz–Zygmund inequalities, approximation, and quadrature rules12
Smoothness of subspace sections of the unit balls of C9
Approximation of functions with small mixed smoothness in the uniform norm9
Alternating projections, remotest projections, and greedy approximation9
Spectra of a class of Cantor–Moran measures with three-element digit sets7
Asymptotics of the generalized Gegenbauer functions of fractional degree6
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations6
Stable high-order randomized cubature formulae in arbitrary dimension6
Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets6
Exact asymptotic volume and volume ratio of Schatten unit balls6
Recovery guarantees for polynomial coefficients from weakly dependent data with outliers6
Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces5
Polynomial approximation in several variables5
Nonlinear steepest descent approach to orthogonality on elliptic curves5
Optimal local embeddings of Besov spaces involving only slowly varying smoothness5
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class5
s-Numbers of embeddings of weighted Wiener algebras5
On the Widom factors forLp5
Norm estimates for Chebyshev polynomials, I5
Approximation properties of periodic multivariate quasi-interpolation operators5
A higher order Faber spline basis for sampling discretization of functions5
Asymptotic correlations with corrections for the circular Jacobi β-ens5
An intersection representation for a class of anisotropic vector-valued function spaces4
Reconstruction of functions from prescribed proximal points4
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 4
Factorization of Hermite subdivision operators from polynomial over-reproduction4
An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfaces4
Asymptotic behavior of Christoffel–Darboux kernel via three-term recurrence relation II4
Multiple orthogonal polynomials associated with confluent hypergeometric functions4
Multiply monotone functions for radial basis function interpolation: Extensions and new kernels4
Asymptotically optimal cubature formulas on manifolds for prefixed weights4
On the representing measures of Dunkl’s intertwining operator4
Corrigendum on the proof of completeness for exceptional Hermite polynomials4
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels4
On(β,γ)3
Supercritical regime for the kissing polynomials3
Pólya-type criteria for conditional strict positive definiteness of functions on spheres3
Kernel gradient descent algorithm for information theoretic learning3
Asymptotic behavior of orthogonal polynomials. Singular critical case3
Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains3
The essential spectrum of canonical systems3
Zero spacings of paraorthogonal polynomials on the unit circle3
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions3
The Lebesgue constants for Leja points are subexponential3
Approximation theorems on graphs3
Bilinear Fourier multipliers and the rate of decay of their derivatives3
Holomorphic functions with universal boundary behaviour3
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures3
Asymptotics of sharp constants in Markov–Bernstein–Nikolskii type inequalities with exponential weights3
Sharp Hardy’s inequality for Jacobi and symmetrized Jacobi trigonometric expansions3
Interpolation by generalized exponential sums with equal weights3
On the spacing of zeros of paraorthogonal polynomials for singular measures3
About families of orthogonal polynomials satisfying Heun’s differential equation3
Sparse approximation of individual functions3
Matrix-valued orthogonal polynomials related to hexagon tilings3
The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers3
Approximative compactness of linear combinations of characteristic functions3
Simultaneous zero-free approximation and universal optimal polynomial approximants3
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros3
Weighted embeddings for function spaces associated with Hermite expansions3
Negative results in coconvex approximation of periodic functions3
Absolute minima of potentials of certain regular spherical configurations2
On the asymptotic behavior of Jacobi polynomials with first varying parameter2
On the optimal relationships between L<2
Bernstein–Szegő inequality for trigonometric polynomials in 2
A continuous function with universal Fourier series on a given closed set of Lebesgue measure zero2
Geometric computation of Christoffel functions on planar convex domains2
Distributed learning and distribution regression of coefficient regularization2
Markov-type inequalities and extreme zeros of orthogonal polynomials2
Bounds on autocorrelation coefficients of Rudin–Shapiro polynomials II2
Entropy function and orthogonal polynomials2
Bernstein inequality on conic domains and triangles2
A simple upper bound for Lebesgue constants associated with Leja points on the real line2
Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind2
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces2
Atomic norm minimization for decomposition into complex exponentials and optimal transport in Fourier domain2
Fourier–Zernike series of compactly supported convolutions on S2
Corrigendum to the papers on Exceptional orthogonal polynomials: J. Approx. Theory 182 (2014) 29–58, 184 (2014) 176–208 and 214 (2017) 9–482
Extended best Lp2
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures2
Estimates of entropy for multiplier operators of systems of orthonormal functions2
Error bounds for the method of simultaneous projections with infinitely many subspaces2
A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe2
Measure of noncompactness of Sobolev embeddings on strip-like domains2
Solutions to inverse moment estimation problems in dimension 2, using best constrained approximation1
Local limits for orthogonal polynomials for varying measures via universality1
Average case weighted L21
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights1
Dimension independent Bernstein–Markov inequalities in Gauss space1
Optimal dual quantizers of 1D 1
Extremal problems for polynomials with real roots1
About essential spectra of unbounded Jacobi matrices1
Absorbing–reflecting factorizations for birth–death chains on the integers and their Darboux transformations1
“Near-best” polynomial approximation of harmonic functions on compact sets in 1
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein 1
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering1
On the error in transfinite interpolation by low-rank functions1
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials1
On convergence of derivatives of Voronovskaja-type expansion for Bernstein type operators1
Rational approximation and Sobolev-type orthogonality1
Wavelet characterization of Triebel–Lizorkin spaces for p1
Signal separation under coherent dictionaries and 1
Intertwining operator associated to symmetric groups and summability on the unit sphere1
Laurent skew orthogonal polynomials and related symplectic matrices1
Randomized weakly admissible meshes1
An interpolatory view of polynomial least squares approximation1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity1
Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm1
On the optimal constants in the two-sided Stechkin inequalities1
The matching condition for larger size Riemann–Hilbert problems1
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation1
A note on K-functional, Modulus of smoothness, Jackson theorem and Ber1
Orthogonal polynomials for self-dual weights1
Bispectrality of Meixner type polynomials1
A matrix version of a higher-order Szegő theorem1
Asymptotics for orthogonal polynomials and separation of their zeros1
Series representations of the Volterra function and the Fransén–Robinson constant1
Random sections of p1
Extremal polynomials on a Jordan arc1
Calculating the spectral factorization and outer functions by sampling-based approximations—Fundamental limitations1
Corrigendum to “Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums” [J. Approx. Theory 200 (2015) 92–135]1
Fast rates of minimum error entropy with heavy-tailed noise1
Sharp Lp1
Codimension 1 minimal projections onto the lines in L1
Bivariate semialgebraic splines1
Stability of Fredholm properties on interpolation Banach spaces1
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings1
Exact L21
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation1
Concentration inequalities for cross-validation in scattered data approximation1
A CMV connection between orthogonal polynomials on the unit circle and the real line1
Fourier–Laplace transforms and orthogonal polynomials1
Chebyshev polynomials in the 16th century1
Constants of strong uniqueness of minimal projections onto some n-dimensional subspaces of 1
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials1
Turán’s inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials1
Compactness interpolation results for bilinear operators of convolution type and for operators of product type1
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Corrigendum to “Supercritical regime for the Kissing polynomials” [J. Approx. Theory 255 (2020) 105408]0
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An extremal composition operator on the Hardy space of the bidisk with small approximation numbers0
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An approximate functional equation for the Riemann zeta function with exponentially decaying error0
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Explicit bounds for even moments of Bernstein’s polynomials0
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Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials0
The derivatives of the heat kernel on complete manifolds0
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Approximating the derivative of manifold-valued functions0
WITHDRAWN: A canonical transform for strengthening the local L0
Onesided Korovkin approximation0
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On a conjecture concerning interpolation by bivariate Bernstein polynomials0
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Multiplicity of zeros of polynomials0
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Approximating the pth root by composite rational functions0
Localization for random CMV matrices0
A note on sharp multivariate Bernstein- and Markov-type inequalities0
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces0
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions0
A modified Christoffel function and its asymptotic properties0
Approximation by sums of shifts and dilations of a single function and neural networks0
H-sets for kernel-based spaces0
On planar polynomial geometric interpolation0
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Sharp Lp0
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Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings0
Sharp approximation theorems and Fourier inequalities in the Dunkl setting0
On alternative quantization for doubly weighted approximation and integration over unbounded domains0
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Alternation points, weights and orthogonal polynomials0
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The Landau–Kolmogorov problem on a finite interval in the Taikov case0
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Bracketing numbers of convex and m-monotone functions on polytopes0
Sequences of m-term deviations in Hilbert space0
Bump functions with monotone Fourier transforms satisfying decay bounds0
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Strong uniqueness and alternation theorems for relative Chebyshev centers0
Cosine polynomials with restrictions on their algebraic representation0
On the condition of cubic B-splines0
Sequences of dilations and translations equivalent to the Haar system in 0
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Coefficient-based regularized distribution regression0
On L0
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A dual-type problem to Christoffel function0
Counterexamples in isometric theory of symmetric and greedy bases0
A superposition theorem of Kolmogorov type for bounded continuous functions0
On some measures of non-compactness associated to Banach operator ideals0
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems0
A representation problem for smooth sums of ridge functions0
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation0
On semi-classical weight functions on the unit circle0
On maximal autocorrelations of Rudin–Shapiro sequences0
Spectral properties of a class of Moran measures on 0
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Positivity of Turán determinants for orthogonal polynomials II0
The density of complex zeros of random sums0
Extremal polynomials on the n-grid0
Functions with identical Lp0
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In Memoriam: Blagovest Sendov February 8, 1932–January 19, 20200
Gap probability for products of random matrices in the critical regime0
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A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse0
Corrigendum to “Abel Summability of Entire Functions of Exponential Type” [Progress in Approximation Theory, P. Nevai and A. Pinkus, Eds. (1991) 117–139]0
Orthogonal polynomial projection error in Dunkl–Sobolev norms in the ball0
Estimates for the modulus of continuity in the Jacobi frame0
Christoffel functions for multiple orthogonal polynomials0
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Convergence rate for weighted polynomial approximation on the real line0
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces0
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Compact cubic splines0
Telescoping continued fractions for the error term in Stirling’s formula0
Quasi-uniform designs with optimal and near-optimal uniformity constant0
Density order of Parseval wavelet frames from extension principles0
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On modular approximants in sequential convergence spaces0
On dynamics of asymptotically minimal polynomials0
On some identities for confluent hypergeometric functions and Bessel functions0
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Hermite–Padé approximation and integrability0
Richard S. Varga October 9, 1928 – February 25, 20220
Polynomial approximation on disjoint segments and amplification of approximation0
Harmonic analysis of little q-Legendre polynomials0
Non-compact embeddings of Sobolev spaces0
Mean convergence of Lagrange interpolation0
On C. Michel’s hypothesis about the modulus of typically real polynomials0
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters0
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Chebyshev unions of planes, and their approximative and geometric properties0
Transformation formulas of finite sums into continued fractions0
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