OOIR: Observatory of International Research

Papers

(The TQCC of Constructive Approximation is 3. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	25
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	14
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	14
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	12
Sparse Estimation: An MMSE Approach	10
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	10
Fourier Interpolation with Zeros of Zeta and L-Functions	9
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	9
Extending the Meijer G-Function	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
Approximation of Wave Packets on the Real Line	8
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	8
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Graph Recovery from Incomplete Moment Information	6
Riesz Energy Problems with External Fields and Related Theory	5
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	5
Sharp Bernstein Inequalities on Simplex	5
Adapted Variable Density Subsampling for Compressed Sensing	5
On the Log-Concavity of the Wright Function	5
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	5
Iterated Function Systems Enriched with Symmetry	5
Dual Smale’s Mean Value Conjecture for $$n=7$$	4
Multivariate Generalized Hermite Subdivision Schemes	4

Bounding Zolotarev Numbers Using Faber Rational Functions	4
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	4
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	4
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	4
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
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	3
Polynomial Approximation on $$C^2$$-Domains	3
Singular Value Perturbation and Deep Network Optimization	3
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Approximation with One-Bit Polynomials in Bernstein Form	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3
Maximal Convergence and Interpolation on Unconnected Sets	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3