OOIR: Observatory of International Research

Papers

(The TQCC of Constructive Approximation is 2. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	123
Fast and Stable Approximation of Analytic Functions from Equispaced Samples via Polynomial Frames	77
Lipschitz Widths	46
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	42
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	40
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators	37
A lower bound for the dimension of tetrahedral splines in large degree	36
Bounding Zolotarev Numbers Using Faber Rational Functions	25
Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces	20
Asymptotics of k-nearest Neighbor Riesz Energies	16
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	14
Sampling Discretization of Integral Norms	9
Markov’s Theorem for Weight Functions on the Unit Circle	8
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	8
Multivariate Generalized Hermite Subdivision Schemes	8
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	7
The spherical ensemble and quasi-Monte-Carlo designs	7
Recursion Formulas for Integrated Products of Jacobi Polynomials	7
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	6
New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence	6
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	5
The Barron Space and the Flow-Induced Function Spaces for Neural Network Models	5
Uniform Approximation of Continuous Couplings	5
Expected Energy of Zeros of Elliptic Polynomials	5
Correction to: Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness	5

Bounds on Orthonormal Polynomials for Restricted Measures	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	4
The Newton Polyhedron and Positivity of $${}_2F_3$$ Hypergeometric Functions	4
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	4
Sparse Estimation: An MMSE Approach	3
Fourier Interpolation with Zeros of Zeta and L-Functions	3
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	3
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	3
The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$	3
Approximation of Wave Packets on the Real Line	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
On the Transition of Charlier Polynomials to the Hermite Function	2
What Ron DeVore Means to Me	2
Special issue of Constructive Approximation dedicated to Ronald A. DeVore	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Pointwise Remez inequality	2
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	2
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	2
The WCGA in $$L^p(\log L)^{\alpha }$$ Spaces	2
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	2
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	2
Minimum Energy Problems with External Fields on Locally Compact Spaces	2
CA Special Issue on Neural Network Approximation	2
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold	2
Strong Partially Greedy Bases and Lebesgue-Type Inequalities	2
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	2
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It	2
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	2
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	2
On the Algebraic Difference Independence of the Euler Gamma Function $$\Gamma $$ and Dirichlet Series	2
Extending the Meijer G-Function	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
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter	2
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	2
Non-Hermitian Orthogonal Polynomials on a Trefoil	2
Asymptotics of Chebyshev Rational Functions with Respect to Subsets of the Real Line	2
Approximation Spaces of Deep Neural Networks	2