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 2022-01-01 to 2026-01-01.)

Article	Citations
Editorial	56
The Lebesgue constants for Leja points are subexponential	13
On maximal autocorrelations of Rudin–Shapiro sequences	11
Uniform convergence of Fourier–Jacobi series to absolutely continuous functions	10
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions	10
The sequence of partial sums of a unimodular power series is not ultraflat	8
Editorial Board	7
A 3 × 3 singular solution to the Matrix Bochner Problem with	7
Approximating the derivative of manifold-valued functions	7
On a conjecture concerning interpolation by bivariate Bernstein polynomials	6
Counterexamples in isometric theory of symmetric and greedy bases	5
Approximation of functions with small mixed smoothness in the uniform norm	5
Editorial Board	5
On the asymptotic behavior of Jacobi polynomials with first varying parameter	5
Comonotone approximation of periodic functions	5
Editorial Board	5
Bernstein-type inequalities for mean n-valent functions	5
Spectral properties of a class of Moran measures on 5
Editorial Board	4
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?	4
Explicit bounds for even moments of Bernstein’s polynomials	4
Exact asymptotic order for generalised adaptive approximations	4
Optimal heat kernel bounds and asymptotics on Damek–Ricci spaces	4
On positive Jacobi matrices with compact inverses	4
Richard S. Varga October 9, 1928 – February 25, 2022	4

Wavelet characterization of Triebel–Lizorkin spaces for p	4
Minimal projections onto subspaces generated by sign-matrices	4
A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse	4
Extremal polynomials on the n-grid	4
Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein	3
Bernstein-type constants for approximation of \|	3
Scaling limits of complex and symplectic non-Hermitian Wishart ensembles	3
Strictly positive definite functions on spheres	3
Remembering Peter Benjamin Borwein (May 10, 1953–August 23, 2020)	3
Estimates for the modulus of continuity in the Jacobi frame	3
Editorial Board	3
On some measures of non-compactness associated to Banach operator ideals	3
Extended best Lp	2
Minimax and maximin problems for sums of translates on the real axis	2
Editorial Board	2
Bernstein inequality on conic domains and triangles	2
Polynomial approximation on disjoint segments and amplification of approximation	2
Editorial Board	2
Editorial Board	2
Pseudo s-numbers of embeddings of Gaussian weighted Sobolev spaces	2
Multivariate polynomial splines on generalized oranges	2
Lower bounds for piecewise polynomial approximations of oscillatory functions	2
Mean convergence of Fourier–Akhiezer–Chebyshev series	2
Besov spaces with generalized smoothness and summability of multiple Fourier series	2
Uniform approximation of vectors using adaptive randomized information	2
A statistical learning assessment of Huber regression	2
Intrinsic interpolation, near-circularity and maximal convergence	2
Absolute minima of potentials of certain regular spherical configurations	2
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials	2
Nonlinear steepest descent approach to orthogonality on elliptic curves	2
Estimates for entropy numbers of sets of smooth functions on complex spheres	2
Spectral decomposition of H<	2
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	2
A point process on the unit circle with antipodal interactions	2
s-Numbers of embeddings of weighted Wiener algebras	2
In memory of Peter Borwein	2
Orthogonal polynomials for self-dual weights	2
Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels	2
Triebel–Lizorkin regularity and bi-Lipschitz maps: Composition operator and inverse function regularity	1
Lagrange interpolation polynomials for Laguerre-type weights	1
Extremal polynomials on a Jordan arc	1
Editorial Board	1
Chebyshev unions of planes, and their approximative and geometric properties	1
The upper bound for the Lebesgue constant for Lagrange interpolation in equally spaced points of the triangle	1
Inradius of random lemniscates	1
Log-concavity of B-splines	1
Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms	1
Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces	1
On the condition of cubic B-splines	1
Editorial Board	1

Optimization-aided construction of multivariate Chebyshev polynomials	1
Sharp lower bounds on interpolation by deep ReLU neural networks at irregularly spaced data	1
On L1
Quarklet characterizations for Triebel–Lizorkin spaces	1
Gap probability for products of random matrices in the critical regime	1
On C. Michel’s hypothesis about the modulus of typically real polynomials	1
A modified Christoffel function and its asymptotic properties	1
Best approximations and their extensions in Lorentz Gamma spaces	1
Approximation by sums of shifts and dilations of a single function and neural networks	1
Sharp Lp	1
Bernstein–Szegő inequality for trigonometric polynomials in	1
The derivatives of the heat kernel on complete manifolds	1
Convergence in distribution of the Bernstein–Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation	1
B-splines approximate the Gaussian density and Hermite functions in Schwartz seminorms	1
Compact cubic splines	1
Concentration inequalities for cross-validation in scattered data approximation	1
The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences	1
On Gaussian kernels on Hilbert spaces and kernels on hyperbolic spaces	1
Editorial Board	1
Estimates of linear expressions through factorization	1
Nyström subsampling for functional linear regression	1
Telescoping continued fractions for the error term in Stirling’s formula	1
Proximinality and uniformly approximable sets in L	1
On simultaneous density order from shift invariant subspaces in Sobolev spaces	1
Editorial Board	1
Harmonic analysis of little q-Legendre polynomials	1
Orthogonal polynomials on the real line generated by the parameter sequences for a given non-single parameter positive chain sequence	1
On approximation by rational functions in Musielak–Orlicz spaces	1
On sharp heat kernel estimates in the context of Fourier–Dini expansions	1
Exact L2	1