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 2021-09-01 to 2025-09-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	25
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	14
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	14
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	12
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	10
Sparse Estimation: An MMSE Approach	10
Fourier Interpolation with Zeros of Zeta and L-Functions	9
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	9
Approximation of Wave Packets on the Real Line	8
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	8
Extending the Meijer G-Function	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Graph Recovery from Incomplete Moment Information	6
Sharp Bernstein Inequalities on Simplex	5
Adapted Variable Density Subsampling for Compressed Sensing	5
On the Log-Concavity of the Wright Function	5
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	5
Iterated Function Systems Enriched with Symmetry	5
Riesz Energy Problems with External Fields and Related Theory	5
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	5
Bounding Zolotarev Numbers Using Faber Rational Functions	4
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	4

Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	4
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	4
Multivariate Generalized Hermite Subdivision Schemes	4
Singular Value Perturbation and Deep Network Optimization	3
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Approximation with One-Bit Polynomials in Bernstein Form	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3
Maximal Convergence and Interpolation on Unconnected Sets	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	3
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	3
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	3
Polynomial Approximation on $$C^2$$-Domains	3
An Embedding of ReLU Networks and an Analysis of Their Identifiability	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
Shrinking Schauder Frames and Their Associated Bases	2
Bounds on Orthonormal Polynomials for Restricted Measures	2
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case	2
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	2
Optimal Sampling and Christoffel Functions on General Domains	2
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
Recovery of Regular Ridge Functions on the Ball	2
Set-Valued $$\alpha $$-Fractal Functions	2
Elliptic $$\mathrm A_n$$ Selberg Integrals	2
Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	2
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	2
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	2
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	2
Universal Sampling Discretization	2
A Malmquist–Steinmetz Theorem for Difference Equations	2
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy	1
On Dunkl Schrödinger Semigroups with Green Bounded Potentials	1
Near-Best Adaptive Approximation on Conforming Meshes	1
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains	1
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	1
Minimum Energy Problems with External Fields on Locally Compact Spaces	1
High-Order Approximation of Set-Valued Functions	1
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	1
On the Transition of Charlier Polynomials to the Hermite Function	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
Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials	1
Existence of Almost Greedy Bases in Mixed-Norm Sequence and Matrix Spaces, Including Besov Spaces	1
Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian	1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	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
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	1
Ferrers Functions of Arbitrary Degree and Order and Related Functions	1
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	1
Uniform Approximation of Continuous Couplings	1
A lower bound for the dimension of tetrahedral splines in large degree	1
Pointwise Remez inequality	1
Dirac Operators with Exponentially Decaying Entropy	1
On Discretizing Uniform Norms of Exponential Sums	1
Shape Preserving Approximation of Periodic Functions: Conclusion	1
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?	1
On the Lebesgue Constant of the Morrow–Patterson Points	1
Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion	1
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	1
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	1
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	1