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

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
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	11
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	11
Sparse Estimation: An MMSE Approach	11
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	10
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	9
Extending the Meijer G-Function	9
Approximation of Wave Packets on the Real Line	9
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	8
Fourier Interpolation with Zeros of Zeta and L-Functions	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Adapted Variable Density Subsampling for Compressed Sensing	6
Riesz Energy Problems with External Fields and Related Theory	6
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	6
On the Log-Concavity of the Wright Function	6
Graph Recovery from Incomplete Moment Information	6
Sobolev-Type Embeddings for Neural Network Approximation Spaces	6
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5
Multivariate Generalized Hermite Subdivision Schemes	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
Bounding Zolotarev Numbers Using Faber Rational Functions	5

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