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 2021-02-01 to 2025-02-01.)

Article	Citations
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	98
Fast and Stable Approximation of Analytic Functions from Equispaced Samples via Polynomial Frames	73
The spherical ensemble and quasi-Monte-Carlo designs	42
Lipschitz Widths	35
Expected Energy of Zeros of Elliptic Polynomials	35
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	28
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	27
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators	24
New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence	16
A lower bound for the dimension of tetrahedral splines in large degree	14
Uniform Approximation of Continuous Couplings	13
Bounding Zolotarev Numbers Using Faber Rational Functions	11
Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces	8
Asymptotics of k-nearest Neighbor Riesz Energies	8
Recursion Formulas for Integrated Products of Jacobi Polynomials	7
Sampling Discretization of Integral Norms	7
Multivariate Generalized Hermite Subdivision Schemes	6
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	6
Markov’s Theorem for Weight Functions on the Unit Circle	6
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	6
The Barron Space and the Flow-Induced Function Spaces for Neural Network Models	5
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	5
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	5
Correction to: Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5

The Newton Polyhedron and Positivity of $${}_2F_3$$ Hypergeometric Functions	5
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	4
CA Special Issue on Neural Network Approximation	4
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	4
High-Order Approximation of Set-Valued Functions	4
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
On the Transition of Charlier Polynomials to the Hermite Function	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Sparse Estimation: An MMSE Approach	3
Approximation of Wave Packets on the Real Line	3
What Ron DeVore Means to Me	2
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It	2
Pointwise Remez inequality	2
The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$	2
On the Algebraic Difference Independence of the Euler Gamma Function $$\Gamma $$ and Dirichlet Series	2
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	2
The WCGA in $$L^p(\log L)^{\alpha }$$ Spaces	2
Asymptotics of Chebyshev Rational Functions with Respect to Subsets of the Real Line	2
Special issue of Constructive Approximation dedicated to Ronald A. DeVore	2
A Newman type bound for $$L_p[-1,1]$$-means of the logarithmic derivative of polynomials having all zeros on the unit circle	2
Strong Partially Greedy Bases and Lebesgue-Type Inequalities	2
Fourier Interpolation with Zeros of Zeta and L-Functions	2
Minimum Energy Problems with External Fields on Locally Compact Spaces	2
Approximation Spaces of Deep Neural Networks	2
Extending the Meijer G-Function	2
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
Microlocal Analysis and Characterization of Sobolev Wavefront Sets Using Shearlets	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	2
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	2
Discrete Self-adjoint Dirac Systems: Asymptotic Relations, Weyl Functions and Toeplitz Matrices	2
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	2
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Universal Regular Conditional Distributions via Probabilistic Transformers	1
Radial Basis Function Approximation with Distributively Stored Data on Spheres	1
Near-Best Adaptive Approximation on Conforming Meshes	1
Sparse Approximation of Triangular Transports, Part II: The Infinite-Dimensional Case	1
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	1
On Discretizing Uniform Norms of Exponential Sums	1
Cyclic Polynomials in Dirichlet-Type Spaces in the Unit Ball of $${\mathbb {C}}^2$$	1
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	1
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	1
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	1
Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations	1
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	1

Discrepancy of Minimal Riesz Energy Points	1
Wavelet-Type Expansion of Generalized Hermite Processes with Rate of Convergence	1
Singular Value Perturbation and Deep Network Optimization	1
DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing	1
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold	1
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	1
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	1
Non-Hermitian Orthogonal Polynomials on a Trefoil	1
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	1
Universal Sampling Discretization	1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	1
Exponential ReLU DNN Expression of Holomorphic Maps in High Dimension	1
Shrinking Schauder Frames and Their Associated Bases	1
Path Regularity of the Brownian Motion and the Brownian Sheet	1
Sobolev-Type Embeddings for Neural Network Approximation Spaces	1
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case	1
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	1
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	1
Sampling Discretization of the Uniform Norm	1
Recovery of Regular Ridge Functions on the Ball	1
Neural Network Identifiability for a Family of Sigmoidal Nonlinearities	1
Maximal Convergence and Interpolation on Unconnected Sets	1
Wiener Algebras and Trigonometric Series in a Coordinated Fashion	1