OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Approximation Theory is 2. 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.)

Article	Citations
Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel–Lizorkin spaces	22
A novel class of stabilized greedy kernel approximation algorithms: Convergence, stability and uniform point distribution	17
Properties of moduli of smoothness inL	16
Sampling, Marcinkiewicz–Zygmund inequalities, approximation, and quadrature rules	12
A statistical learning assessment of Huber regression	12
Approximation of functions with small mixed smoothness in the uniform norm	9
Alternating projections, remotest projections, and greedy approximation	9
Smoothness of subspace sections of the unit balls of C	9
Spectra of a class of Cantor–Moran measures with three-element digit sets	7
Asymptotics of the generalized Gegenbauer functions of fractional degree	6
On the Borel summability of WKB solutions of certain Schrödinger-type differential equations	6
Stable high-order randomized cubature formulae in arbitrary dimension	6
Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets	6
Exact asymptotic volume and volume ratio of Schatten unit balls	6
Recovery guarantees for polynomial coefficients from weakly dependent data with outliers	6
Optimal local embeddings of Besov spaces involving only slowly varying smoothness	5
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class	5
s-Numbers of embeddings of weighted Wiener algebras	5
On the Widom factors forLp	5
Norm estimates for Chebyshev polynomials, I	5
Approximation properties of periodic multivariate quasi-interpolation operators	5
A higher order Faber spline basis for sampling discretization of functions	5
Asymptotic correlations with corrections for the circular Jacobi β-ens	5
Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces	5
Polynomial approximation in several variables	5

Nonlinear steepest descent approach to orthogonality on elliptic curves	5
An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfaces	4
Asymptotic behavior of Christoffel–Darboux kernel via three-term recurrence relation II	4
Multiple orthogonal polynomials associated with confluent hypergeometric functions	4
Multiply monotone functions for radial basis function interpolation: Extensions and new kernels	4
Asymptotically optimal cubature formulas on manifolds for prefixed weights	4
On the representing measures of Dunkl’s intertwining operator	4
Corrigendum on the proof of completeness for exceptional Hermite polynomials	4
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels	4
An intersection representation for a class of anisotropic vector-valued function spaces	4
Reconstruction of functions from prescribed proximal points	4
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-reproduction	4
Zero spacings of paraorthogonal polynomials on the unit circle	3
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions	3
The Lebesgue constants for Leja points are subexponential	3
Approximation theorems on graphs	3
Bilinear Fourier multipliers and the rate of decay of their derivatives	3
Holomorphic functions with universal boundary behaviour	3
Approximation rate in Wasserstein distance of probability measures on the real line by deterministic empirical measures	3
Asymptotics of sharp constants in Markov–Bernstein–Nikolskii type inequalities with exponential weights	3
Sharp Hardy’s inequality for Jacobi and symmetrized Jacobi trigonometric expansions	3
Interpolation by generalized exponential sums with equal weights	3
On the spacing of zeros of paraorthogonal polynomials for singular measures	3
About families of orthogonal polynomials satisfying Heun’s differential equation	3
Sparse approximation of individual functions	3
Matrix-valued orthogonal polynomials related to hexagon tilings	3
The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers	3
Approximative compactness of linear combinations of characteristic functions	3
Simultaneous zero-free approximation and universal optimal polynomial approximants	3
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros	3
Weighted embeddings for function spaces associated with Hermite expansions	3
Negative results in coconvex approximation of periodic functions	3
On(β,γ)	3
Supercritical regime for the kissing polynomials	3
Pólya-type criteria for conditional strict positive definiteness of functions on spheres	3
Kernel gradient descent algorithm for information theoretic learning	3
Asymptotic behavior of orthogonal polynomials. Singular critical case	3
Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains	3
The essential spectrum of canonical systems	3
Geometric computation of Christoffel functions on planar convex domains	2
Distributed learning and distribution regression of coefficient regularization	2
Markov-type inequalities and extreme zeros of orthogonal polynomials	2
Bounds on autocorrelation coefficients of Rudin–Shapiro polynomials II	2
Entropy function and orthogonal polynomials	2
Bernstein inequality on conic domains and triangles	2
A simple upper bound for Lebesgue constants associated with Leja points on the real line	2
Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind	2
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces	2
Atomic norm minimization for decomposition into complex exponentials and optimal transport in Fourier domain	2

Fourier–Zernike series of compactly supported convolutions on S	2
Corrigendum to the papers on Exceptional orthogonal polynomials: J. Approx. Theory 182 (2014) 29–58, 184 (2014) 176–208 and 214 (2017) 9–48	2
Extended best Lp	2
Explicit expressions and computational methods for the Fortet–Mourier distance of positive measures to finite weighted sums of Dirac measures	2
Estimates of entropy for multiplier operators of systems of orthonormal functions	2
Error bounds for the method of simultaneous projections with infinitely many subspaces	2
A retrospective on research visits of Paul Butzer’s Aachen research group to North America and Western Europe	2
Measure of noncompactness of Sobolev embeddings on strip-like domains	2
Absolute minima of potentials of certain regular spherical configurations	2
On the asymptotic behavior of Jacobi polynomials with first varying parameter	2
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 zero	2