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 2022-05-01 to 2026-05-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	31
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	23
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	16
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	12
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	12
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	10
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	10
Extending the Meijer G-Function	9
Fourier Interpolation with Zeros of Zeta and L-Functions	8
Approximation of Wave Packets on the Real Line	8
Sparse Estimation: An MMSE Approach	8
Conditional Bases with Property (A)	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	7
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	7
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
The Bispectral Problem, the Darboux Process, Monodromy and the Hermite Operator	6
Riesz Energy Problems with External Fields and Related Theory	6
On the Log-Concavity of the Wright Function	6
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Adapted Variable Density Subsampling for Compressed Sensing	6
Sharp Embeddings Between Weighted Paley-Wiener Spaces	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5

Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
Bounding Zolotarev Numbers Using Faber Rational Functions	5
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5
Sharp Bernstein Inequalities on Simplex	5
Global Universal Approximation of Functional Input Maps on Weighted Spaces	5
A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings	4
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	4
Multivariate Generalized Hermite Subdivision Schemes	4
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Barrier Nonsubordinacy and Absolutely Continuous Spectrum of Block Jacobi Matrices	4
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	4
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	4
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Points on $$\operatorname {SO}(3)$$ with low logarithmic energy	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Shrinking Schauder Frames and Their Associated Bases	3
Singular Value Perturbation and Deep Network Optimization	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Polynomial Approximation on $$C^2$$-Domains	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
The Complete Asymptotic Evaluation for Mellin Convolution Operators	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	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
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	3
Spherical Analysis of Learning Nonlinear Functionals	3