OOIR: Observatory of International Research

Papers

(The TQCC of Constructive Approximation 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 2021-07-01 to 2025-07-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	27
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	25
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	13
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	12
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	9
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	9
Sparse Estimation: An MMSE Approach	9
Extending the Meijer G-Function	8
Fourier Interpolation with Zeros of Zeta and L-Functions	8
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	7
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	7
Approximation of Wave Packets on the Real Line	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	6
Riesz Energy Problems with External Fields and Related Theory	5
Sharp Bernstein Inequalities on Simplex	5
Adapted Variable Density Subsampling for Compressed Sensing	5
Graph Recovery from Incomplete Moment Information	5
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	5
Bounding Zolotarev Numbers Using Faber Rational Functions	4
Multivariate Generalized Hermite Subdivision Schemes	4
On the Log-Concavity of the Wright Function	4
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	4

Iterated Function Systems Enriched with Symmetry	4
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	4
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	3
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	3
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	3
Maximal Convergence and Interpolation on Unconnected Sets	3
Dual Smale’s Mean Value Conjecture for $$n=7$$	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3
Singular Value Perturbation and Deep Network Optimization	3
Shrinking Schauder Frames and Their Associated Bases	2
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	2
Polynomial Approximation on $$C^2$$-Domains	2
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	2
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case	2
Recovery of Regular Ridge Functions on the Ball	2
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	2
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Bounds on Orthonormal Polynomials for Restricted Measures	2
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	2
Approximation with One-Bit Polynomials in Bernstein Form	2
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	2
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	2
Universal Sampling Discretization	2
Optimal Sampling and Christoffel Functions on General Domains	2