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 2021-02-01 to 2025-02-01.)

Article	Citations
Extended best Lp	31
On planar polynomial geometric interpolation	24
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	10
On the condition number of Newton interpolation: Chebyshev points and monotonically ordering	9
Non-compact embeddings of Sobolev spaces	8
Positivity of Turán determinants for orthogonal polynomials II	7
On(β,γ)	6
Entropy function and orthogonal polynomials	6
Asymptotic correlations with corrections for the circular Jacobi β-ens	6
New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials	5
Series representations of the Volterra function and the Fransén–Robinson constant	5
About families of orthogonal polynomials satisfying Heun’s differential equation	5
A CMV connection between orthogonal polynomials on the unit circle and the real line	4
Editorial Board	4
On maximal autocorrelations of Rudin–Shapiro sequences	4
Approximation by sums of shifts and dilations of a single function and neural networks	4
Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials	4
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels	4
Polynomial approximation on disjoint segments and amplification of approximation	4
The Lebesgue constants for Leja points are subexponential	4
A matrix version of a higher-order Szegő theorem	4
Nonlinear steepest descent approach to orthogonality on elliptic curves	4
Editorial Board	4
Editorial Board	4
Existence and uniqueness of s-curve segments of tensioned elastica satisfying geometric Hermite interpolation conditions	3

On sharp heat kernel estimates in the context of Fourier–Dini expansions	3
Some aspects of the Bergman and Hardy spaces associated with a class of generalized 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
Editorial	3
Log-concavity of B-splines	3
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)	3
Chebyshev polynomials corresponding to a vanishing weight	3
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation	3
In memory of Peter Borwein	3
Editorial Board	3
Nonlinear approximation of high-dimensional anisotropic analytic functions	3
Multivariate polynomial splines on generalized oranges	3
Factorization of Hermite subdivision operators from polynomial over-reproduction	3
Chebyshev polynomials in the 16th century	3
The Lp	2
Randomized approximation of summable sequences — adaptive and non-adaptive	2
A statistical learning assessment of Huber regression	2
Orthogonal polynomials for self-dual weights	2
Editorial Board	2
Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order 2
Editorial Board	2
Editorial Board	2
Editorial Board	2
Editorial Board	2
On Bernstein- and Marcinkiewicz-type inequalities on multivariate C	2
Editorial Board	2
In search of a higher Bochner theorem	2
On dynamics of asymptotically minimal polynomials	2
Negative results in coconvex approximation of periodic functions	2
Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation	2
Positive orthogonalizing weights on the unit circle for the generalized Bessel polynomials	2
The differential equation for Jacobi–Sobolev orthogonal polynomials with two linear perturbutions	2
Corrigendum to “Strong uniqueness and alternation theorems for relative Chebyshev centers” [J. Approx. Theory, 293 (2023) 105917]	2
Lower bounds for piecewise polynomial approximations of oscillatory functions	2
Exact order of pointwise estimates for polynomial approximation with Hermite interpolation	2
Sequences of dilations and translations equivalent to the Haar system in	2
Approximating the derivative of manifold-valued functions	2
Editorial Board	2
Quasi-uniform designs with optimal and near-optimal uniformity constant	1
Approximation of functions with small mixed smoothness in the uniform norm	1
Minimal projections onto subspaces generated by sign-matrices	1
On the asymptotic behavior of Jacobi polynomials with first varying parameter	1
Localization for random CMV matrices	1
About essential spectra of unbounded Jacobi matrices	1
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?	1
Counterexamples in isometric theory of symmetric and greedy bases	1
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse	1
Stable decomposition of homogeneous Mixed-norm Triebel–Lizorkin spaces	1
Markov-type inequalities and extreme zeros of orthogonal polynomials	1
s-Numbers of embeddings of weighted Wiener algebras	1

Optimal dual quantizers of 1D	1
“Near-best” polynomial approximation of harmonic functions on compact sets in ℂ	1
Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights	1
Christoffel functions for multiple orthogonal polynomials	1
Randomized weakly admissible meshes	1
Fourier–Zernike series of compactly supported convolutions on S	1
The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity	1
On reverse Markov–Nikol’skii inequalities for polynomials with restricted zeros	1
Absolute minima of potentials of certain regular spherical configurations	1
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation	1
In memory of Peter Borwein	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
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces	1
Editorial Board	1
Compact cubic splines	1
Explicit bounds for even moments of Bernstein’s polynomials	1
On a conjecture concerning interpolation by bivariate Bernstein polynomials	1
Littlewood–Paley–Rubio de Francia inequality for unbounded Vilenkin systems	1
Editorial Board	1
Editorial Board	1
Kolmogorov widths of an intersection of a family of balls in a mixed norm	1
Sharp Lp	1
Strong uniqueness and alternation theorems for relative Chebyshev centers	1
Translation-based completeness on compact intervals	1
Editorial Board	1
On the representability of a continuous multivariate function by sums of ridge functions	1
Editorial Board	1
Coefficient-based regularized distribution regression	1
Editorial Board	1
Onesided Korovkin approximation	1
The Landau–Kolmogorov problem on a finite interval in the Taikov case	1
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials	1
Boundary value problems of potential theory for the exterior ball and the approximation and ergodic behaviour of the solutions	1
Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings	1
Editorial Board	1
Editorial Board	1
Spectral properties of a class of Moran measures on 1
On the condition of cubic B-splines	1
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros	1
Theorems of Szegö–Verblunsky type in the multivariate and almost periodic settings	1
Mean convergence of Lagrange interpolation	1