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 2022-08-01 to 2026-08-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	36
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	26
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	19
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	15
Sparse Estimation: An MMSE Approach	13
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	13
Conditional Bases with Property (A)	11
Approximation of Wave Packets on the Real Line	10
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	9
Extending the Meijer G-Function	9
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
Quadrature Domains Packing	8
Fourier Interpolation with Zeros of Zeta and L-Functions	8
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Spectral Deviation of Concentration Operators on Reproducing Kernel Hilbert Spaces	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Riesz Energy Problems with External Fields and Related Theory	7
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	6
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	6
Adapted Variable Density Subsampling for Compressed Sensing	6
Minimizing Point Configurations for Tensor Product Energies on the Torus	6
Sharp Embeddings Between Weighted Paley-Wiener Spaces	6

Lacunary Wavelet Series on Cantor Sets	6
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	6
Hyperuniform Point Sets on Projective Spaces	6
Global Universal Approximation of Functional Input Maps on Weighted Spaces	5
The Bispectral Problem, the Darboux Process, Monodromy and the Hermite Operator	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5
Sharp Bernstein Inequalities on Simplex	5
Multivariate Generalized Hermite Subdivision Schemes	5
On the Log-Concavity of the Wright Function	5
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	4
Barrier Nonsubordinacy and Absolutely Continuous Spectrum of Block Jacobi Matrices	4
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	4
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings	4
$$L_2$$-Approximation Using Median Lattice Algorithms	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	4
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	4
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	4
Asymptotics and Zeros of a Special Family of Jacobi Polynomials	3
Spherical Analysis of Learning Nonlinear Functionals	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Universal Optimality of T-avoiding Spherical Codes and Designs	3
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	3
Approximate Taylor Theorem for Analytic Lipschitz Functions	3
Polynomial Approximation on $$C^2$$-Domains	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Points on $$\operatorname {SO}(3)$$ with low logarithmic energy	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
Universal Sampling Discretization	3
On the Logarithmic Energy of Solutions to the Polynomial Eigenvalue Problem	3
Approximation Order of Kolmogorov, Gelfand, and Linear Widths for Sobolev Embeddings in Euclidean Measure Spaces	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Singular Value Perturbation and Deep Network Optimization	3
Compactly Supported, Orthogonal, Continuous Piecewise Polynomial Multiresolution Analysis	3
Shrinking Schauder Frames and Their Associated Bases	3
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	3