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 2021-11-01 to 2025-11-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	28
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	17
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	14
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	14
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	10
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	10
Fourier Interpolation with Zeros of Zeta and L-Functions	10
Sparse Estimation: An MMSE Approach	9
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	8
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	8
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	8
Approximation of Wave Packets on the Real Line	8
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	8
Extending the Meijer G-Function	8
Sobolev-Type Embeddings for Neural Network Approximation Spaces	8
Adapted Variable Density Subsampling for Compressed Sensing	7
Riesz Energy Problems with External Fields and Related Theory	6
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	6
Graph Recovery from Incomplete Moment Information	6
Sharp Bernstein Inequalities on Simplex	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
On the Log-Concavity of the Wright Function	5
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5
Multivariate Generalized Hermite Subdivision Schemes	5

Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	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
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Bounding Zolotarev Numbers Using Faber Rational Functions	4
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Singular Value Perturbation and Deep Network Optimization	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	3
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	3
Maximal Convergence and Interpolation on Unconnected Sets	3
Polynomial Approximation on $$C^2$$-Domains	3
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	3
The Complete Asymptotic Evaluation for Mellin Convolution Operators	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data	3
Shrinking Schauder Frames and Their Associated Bases	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	3
Optimal Sampling and Christoffel Functions on General Domains	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Recovery of Regular Ridge Functions on the Ball	2
An Embedding of ReLU Networks and an Analysis of Their Identifiability	2
Ferrers Functions of Arbitrary Degree and Order and Related Functions	2
On Dunkl Schrödinger Semigroups with Green Bounded Potentials	2
Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Universal Sampling Discretization	2
Set-Valued $$\alpha $$-Fractal Functions	2
A Malmquist–Steinmetz Theorem for Difference Equations	2
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	2
Elliptic $$\mathrm A_n$$ Selberg Integrals	2
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	2
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case	2
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	2
Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion	2
Uniform Asymptotic Expansions for Gegenbauer Polynomials and Related Functions via Differential Equations Having a Simple Pole	2
Dirac Operators with Exponentially Decaying Entropy	2
Universal approximation with complex-valued deep narrow neural networks	1
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	1
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?	1

Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian	1
Shape Preserving Approximation of Periodic Functions: Conclusion	1
A Lower Bound for the Logarithmic Energy on $$\mathbb {S}^2$$ and for the Green Energy on $$\mathbb {S}^n$$	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
Pointwise Remez inequality	1
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	1
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere	1
Richard S. Varga (October 9, 1928 -February 25, 2022)	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Quantization for Spectral Super-Resolution	1
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	1
On a Class of Elliptic Orthogonal Polynomials and their Integrability	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
Riesz Equilibrium on a Ball in the External Field of a Point Charge	1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	1
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	1
High-Order Approximation of Set-Valued Functions	1
Uniform Approximation of Continuous Couplings	1
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy	1
Minimum Energy Problems with External Fields on Locally Compact Spaces	1
Approximation results for Gradient Flow Trained Shallow Neural Networks in 1d	1
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains	1
The Product of m Real $$N\times N$$ Ginibre Matrices: Real Eigenvalues in the Critical Regime $$m=O(N)$$	1
On Discretizing Uniform Norms of Exponential Sums	1
Near-Best Adaptive Approximation on Conforming Meshes	1
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	1
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	1
On the Lebesgue Constant of the Morrow–Patterson Points	1
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	1
Packing Theory Derived from Phyllotaxis and Products of Linear Forms	1
A lower bound for the dimension of tetrahedral splines in large degree	1