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 2021-03-01 to 2025-03-01.)

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	77
Lipschitz Widths	46
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	35
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	35
Expected Energy of Zeros of Elliptic Polynomials	35
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators	27
A lower bound for the dimension of tetrahedral splines in large degree	25
Bounding Zolotarev Numbers Using Faber Rational Functions	19
Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces	16
Asymptotics of k-nearest Neighbor Riesz Energies	14
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	11
Multivariate Generalized Hermite Subdivision Schemes	8
Markov’s Theorem for Weight Functions on the Unit Circle	8
Sampling Discretization of Integral Norms	8
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	7
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	7
Recursion Formulas for Integrated Products of Jacobi Polynomials	6
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	6
The spherical ensemble and quasi-Monte-Carlo designs	6
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	5
Uniform Approximation of Continuous Couplings	5
The Newton Polyhedron and Positivity of $${}_2F_3$$ Hypergeometric Functions	5
New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence	5
Correction to: Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness	5

The Barron Space and the Flow-Induced Function Spaces for Neural Network Models	5
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	4
The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$	4
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	4
Bounds on Orthonormal Polynomials for Restricted Measures	4
High-Order Approximation of Set-Valued Functions	4
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Fourier Interpolation with Zeros of Zeta and L-Functions	3
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	3
Sparse Estimation: An MMSE Approach	3
Discrete Self-adjoint Dirac Systems: Asymptotic Relations, Weyl Functions and Toeplitz Matrices	3
Approximation of Wave Packets on the Real Line	3
Minimum Energy Problems with External Fields on Locally Compact Spaces	3
What Ron DeVore Means to Me	2
Special issue of Constructive Approximation dedicated to Ronald A. DeVore	2
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	2
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	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
The WCGA in $$L^p(\log L)^{\alpha }$$ Spaces	2
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	2
CA Special Issue on Neural Network Approximation	2
On the Algebraic Difference Independence of the Euler Gamma Function $$\Gamma $$ and Dirichlet Series	2
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	2
Non-Hermitian Orthogonal Polynomials on a Trefoil	2
Strong Partially Greedy Bases and Lebesgue-Type Inequalities	2
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold	2
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It	2
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	2
On the Transition of Charlier Polynomials to the Hermite Function	2
Approximation Spaces of Deep Neural Networks	2
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	2
Microlocal Analysis and Characterization of Sobolev Wavefront Sets Using Shearlets	2
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	2
Pointwise Remez inequality	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
Extending the Meijer G-Function	2
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	2
Asymptotics of Chebyshev Rational Functions with Respect to Subsets of the Real Line	2