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 2022-06-01 to 2026-06-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	32
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	24
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	16
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure	13
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	12
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	11
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	10
Sparse Estimation: An MMSE Approach	9
Conditional Bases with Property (A)	8
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	8
Approximation of Wave Packets on the Real Line	8
Extending the Meijer G-Function	7
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	7
Fourier Interpolation with Zeros of Zeta and L-Functions	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Adapted Variable Density Subsampling for Compressed Sensing	7
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	6
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Sharp Bernstein Inequalities on Simplex	6
Riesz Energy Problems with External Fields and Related Theory	6
The Bispectral Problem, the Darboux Process, Monodromy and the Hermite Operator	6
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5

Global Universal Approximation of Functional Input Maps on Weighted Spaces	5
Bounding Zolotarev Numbers Using Faber Rational Functions	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
Sharp Embeddings Between Weighted Paley-Wiener Spaces	5
Multivariate Generalized Hermite Subdivision Schemes	5
On the Log-Concavity of the Wright Function	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5
Hyperuniform Point Sets on Projective Spaces	5
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	4
A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings	4
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	4
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	4
Barrier Nonsubordinacy and Absolutely Continuous Spectrum of Block Jacobi Matrices	4
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	4
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3
Approximation Order of Kolmogorov, Gelfand, and Linear Widths for Sobolev Embeddings in Euclidean Measure Spaces	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	3
Singular Value Perturbation and Deep Network Optimization	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Polynomial Approximation on $$C^2$$-Domains	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Spherical Analysis of Learning Nonlinear Functionals	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Points on $$\operatorname {SO}(3)$$ with low logarithmic energy	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
On the Logarithmic Energy of Solutions to the Polynomial Eigenvalue Problem	3
Shrinking Schauder Frames and Their Associated Bases	2
Ferrers Functions of Arbitrary Degree and Order and Related Functions	2
Set-Valued $$\alpha $$-Fractal Functions	2
Dirac Operators with Exponentially Decaying Entropy	2
Elliptic $$\mathrm A_n$$ Selberg Integrals	2
Approximate Taylor Theorem for Analytic Lipschitz Functions	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
The Complete Asymptotic Evaluation for Mellin Convolution Operators	2
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	2
Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	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
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	2
Asymptotics and Zeros of a Special Family of Jacobi Polynomials	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	2
A Malmquist–Steinmetz Theorem for Difference Equations	2
On Dunkl Schrödinger Semigroups with Green Bounded Potentials	2

An Embedding of ReLU Networks and an Analysis of Their Identifiability	2
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Universal Optimality of T-avoiding Spherical Codes and Designs	2
Universal Sampling Discretization	2
On the Lebesgue Constant of the Morrow–Patterson Points	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
QMC Integration Based on Arbitrary (t, m, s)-Nets Yields Optimal Convergence Rates on Several Scales of Function Spaces	1
Minimum Energy Problems with External Fields on Locally Compact Spaces	1
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	1
On a Class of Elliptic Orthogonal Polynomials and their Integrability	1
Near-Best Adaptive Approximation on Conforming Meshes	1
Riesz Equilibrium on a Ball in the External Field of a Point Charge	1
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains	1
Polynomial Argmin for Recovery and Approximation of Multivariate Discontinuous Functions	1
Applications of the Lipschitz Summation Formula and a Generalization of Raabe’s Cosine Transform	1
The Product of m Real $$N\times N$$ Ginibre Matrices: Real Eigenvalues in the Critical Regime $$m=O(N)$$	1
A Lower Bound for the Logarithmic Energy on $$\mathbb {S}^2$$ and for the Green Energy on $$\mathbb {S}^n$$	1
On Sobolev and Besov Spaces of Hybrid Regularity	1
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$	1
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	1
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	1
A lower bound for the dimension of tetrahedral splines in large degree	1
Shape Preserving Approximation of Periodic Functions: Conclusion	1
Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials	1
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	1
Existence of Almost Greedy Bases in Mixed-Norm Sequence and Matrix Spaces, Including Besov Spaces	1
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?	1
Richard S. Varga (October 9, 1928 -February 25, 2022)	1
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Convergence Analysis of Online Algorithms for Vector-Valued Kernel Regression	1
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	1
Inner Riesz Balayage in Minimum Energy Problems with External Fields	1
Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian	1
Uniform Approximation of Continuous Couplings	1
Stability of Least Squares Approximation under Random Sampling	1
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	1
Universal approximation with complex-valued deep narrow neural networks	1
Approximation results for Gradient Flow Trained Shallow Neural Networks in 1d	1