OOIR: Observatory of International Research

Papers

(The median citation count of Constructive Approximation is 1. 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 2021-06-01 to 2025-06-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	81
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	27
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	23
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	10
Approximation of Wave Packets on the Real Line	9
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	9
Fourier Interpolation with Zeros of Zeta and L-Functions	8
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	8
Extending the Meijer G-Function	8
Sparse Estimation: An MMSE Approach	8
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
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	6
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	6
Riesz Energy Problems with External Fields and Related Theory	5
Adapted Variable Density Subsampling for Compressed Sensing	5
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	5
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	5
Graph Recovery from Incomplete Moment Information	5
Iterated Function Systems Enriched with Symmetry	4
On the Log-Concavity of the Wright Function	4
Sharp Bernstein Inequalities on Simplex	4
Multivariate Generalized Hermite Subdivision Schemes	4
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	4

Bounding Zolotarev Numbers Using Faber Rational Functions	4
Maximal Convergence and Interpolation on Unconnected Sets	3
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	3
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	3
Dual Smale’s Mean Value Conjecture for $$n=7$$	3
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	3
Approximation with One-Bit Polynomials in Bernstein Form	2
Shrinking Schauder Frames and Their Associated Bases	2
Optimal Sampling and Christoffel Functions on General Domains	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	2
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	2
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	2
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case	2
Bounds on Orthonormal Polynomials for Restricted Measures	2
Polynomial Approximation on $$C^2$$-Domains	2
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	2
Singular Value Perturbation and Deep Network Optimization	2
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	2
Recovery of Regular Ridge Functions on the Ball	2
Universal Sampling Discretization	2
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	2
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	2
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	2
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	2
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	1
A Malmquist–Steinmetz Theorem for Difference Equations	1
A lower bound for the dimension of tetrahedral splines in large degree	1
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	1
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	1
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	1
A Newman type bound for $$L_p[-1,1]$$-means of the logarithmic derivative of polynomials having all zeros on the unit circle	1
On the Lebesgue Constant of the Morrow–Patterson Points	1
Minimum Energy Problems with External Fields on Locally Compact Spaces	1
High-Order Approximation of Set-Valued Functions	1
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	1
Elliptic $$\mathrm A_n$$ Selberg Integrals	1
Set-Valued $$\alpha $$-Fractal Functions	1
Uniform Approximation of Continuous Couplings	1
On Dunkl Schrödinger Semigroups with Green Bounded Potentials	1
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	1
Uniform Asymptotic Expansions for Gegenbauer Polynomials and Related Functions via Differential Equations Having a Simple Pole	1
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains	1

Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	1
Pointwise Remez inequality	1
On the Transition of Charlier Polynomials to the Hermite Function	1
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	1
Dirac Operators with Exponentially Decaying Entropy	1
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs	1
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	1
Best k-Layer Neural Network Approximations	1
Ferrers Functions of Arbitrary Degree and Order and Related Functions	1
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	1
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It	1
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	1
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	1
Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion	1
Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	1
An Embedding of ReLU Networks and an Analysis of Their Identifiability	1