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 2021-11-01 to 2025-11-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	28
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	17
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	14
Fourier Interpolation with Zeros of Zeta and L-Functions	10
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	10
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	10
Sparse Estimation: An MMSE Approach	9
Extending the Meijer G-Function	8
Sobolev-Type Embeddings for Neural Network Approximation Spaces	8
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	8
Approximation of Wave Packets on the Real Line	8
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	8
Adapted Variable Density Subsampling for Compressed Sensing	7
Riesz Energy Problems with External Fields and Related Theory	6
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	6
Graph Recovery from Incomplete Moment Information	6
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5
Sharp Bernstein Inequalities on Simplex	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
On the Log-Concavity of the Wright Function	5
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5

Multivariate Generalized Hermite Subdivision Schemes	5
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Bounding Zolotarev Numbers Using Faber Rational Functions	4
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	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
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	3
Shrinking Schauder Frames and Their Associated Bases	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	3
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Singular Value Perturbation and Deep Network Optimization	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	3
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	3
Maximal Convergence and Interpolation on Unconnected Sets	3
Polynomial Approximation on $$C^2$$-Domains	3
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	3
The Complete Asymptotic Evaluation for Mellin Convolution Operators	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3