OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Approximation Theory is 1. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Extended best Lp	37
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	13
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering	9
Positivity of Turán determinants for orthogonal polynomials II	8
Non-compact embeddings of Sobolev spaces	8
On(β,γ)	8
A matrix version of a higher-order Szegő theorem	7
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials	7
Editorial Board	6
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials	6
Editorial Board	6
Chebyshev polynomials corresponding to a vanishing weight	5
On maximal autocorrelations of Rudin–Shapiro sequences	5
Factorization of Hermite subdivision operators from polynomial over-reproduction	5
The Lebesgue constants for Leja points are subexponential	5
Editorial Board	5
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels	5
In memory of Peter Borwein	4
Chebyshev polynomials in the 16th century	4
Asymptotic correlations with corrections for the circular Jacobi β-ens	4
Editorial Board	4
Editorial	4
On sharp heat kernel estimates in the context of Fourier–Dini expansions	4
Log-concavity of B-splines	4
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)	4

Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions	4
Randomized approximation of summable sequences — adaptive and non-adaptive	4
In search of a higher Bochner theorem	3
On planar polynomial geometric interpolation	3
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation	3
Lower bounds for piecewise polynomial approximations of oscillatory functions	3
Polynomial approximation on disjoint segments and amplification of approximation	3
A CMV connection between orthogonal polynomials on the unit circle and the real line	3
Approximation by sums of shifts and dilations of a single function and neural networks	3
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions	3
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C	3
Series representations of the Volterra function and the Fransén–Robinson constant	3
Nonlinear approximation of high-dimensional anisotropic analytic functions	3
The alternating simultaneous Halpern–Lions–Wittmann–Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets	3
Multivariate polynomial splines on generalized oranges	3
Counterexamples in isometric theory of symmetric and greedy bases	2
On a conjecture concerning interpolation by bivariate Bernstein polynomials	2
Editorial Board	2
Strong uniqueness and alternation theorems for relative Chebyshev centers	2
Translation-based completeness on compact intervals	2
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials	2
About essential spectra of unbounded Jacobi matrices	2
Editorial Board	2
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces	2
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces	2
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation	2
Quasi-uniform designs with optimal and near-optimal uniformity constant	2
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]	2
Entropy function and orthogonal polynomials	2
Editorial Board	2
Orthogonal polynomials for self-dual weights	2
s-Numbers of embeddings of weighted Wiener algebras	2
Editorial Board	2
Negative results in coconvex approximation of periodic functions	2
Editorial Board	2
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros	2
A statistical learning assessment of Huber regression	2
Editorial Board	2
Nonlinear steepest descent approach to orthogonality on elliptic curves	2
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings	1
Spectral properties of a class of Moran measures on 1
Approximation of functions with small mixed smoothness in the uniform norm	1
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions	1
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation	1
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse	1
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)	1
Sharp Lp	1
Editorial Board	1
The Landau–Kolmogorov problem on a finite interval in the Taikov case	1
“Near-best” polynomial approximation of harmonic functions on compact sets in ℂ	1

Onesided Korovkin approximation	1
On dynamics of asymptotically minimal polynomials	1
Sequences of dilations and translations equivalent to the Haar system in	1
Markov-type inequalities and extreme zeros of orthogonal polynomials	1
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 1
Weighted embeddings for function spaces associated with Hermite expansions	1
On the asymptotic behavior of Jacobi polynomials with first varying parameter	1
On some identities for confluent hypergeometric functions and Bessel functions	1
On the optimal constants in the two-sided Stechkin inequalities	1
Bump functions with monotone Fourier transforms satisfying decay bounds	1
Kolmogorov widths of an intersection of a family of balls in a mixed norm	1
Editorial Board	1
Mean convergence of Lagrange interpolation	1
On the condition of cubic B-splines	1
Editorial Board	1
Absolute minima of potentials of certain regular spherical configurations	1
Editorial Board	1
On the representability of a continuous multivariate function by sums of ridge functions	1
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions	1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity	1
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings	1
Compact cubic splines	1
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros	1
Spherical basis functions in Hardy spaces with localization constraints	1
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?	1
Approximating the derivative of manifold-valued functions	1
Editorial Board	1
The Lp	1
Localization for random CMV matrices	1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials	1
Editorial Board	1
Optimal dual quantizers of 1D	1
Editorial Board	1
In memory of Peter Borwein	1
Improved Stein inequalities for the Fourier transform	1
Christoffel functions for multiple orthogonal polynomials	1
Extension of the best polynomial operator in generalized Orlicz Spaces	1
Editorial Board	1
Coefficient-based regularized distribution regression	1
Fourier–Zernike series of compactly supported convolutions on S	1