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 2021-12-01 to 2025-12-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	28
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	17
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	14
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	11
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
Extending the Meijer G-Function	9
Approximation of Wave Packets on the Real Line	9
Sparse Estimation: An MMSE Approach	9
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	9
Fourier Interpolation with Zeros of Zeta and L-Functions	8
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
Sobolev-Type Embeddings for Neural Network Approximation Spaces	6
Riesz Energy Problems with External Fields and Related Theory	6
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	6
Adapted Variable Density Subsampling for Compressed Sensing	6
Graph Recovery from Incomplete Moment Information	5
On the Log-Concavity of the Wright Function	5
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
Bounding Zolotarev Numbers Using Faber Rational Functions	5
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	5

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