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 2022-08-01 to 2026-08-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	36
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	26
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries	19
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	15
Sparse Estimation: An MMSE Approach	13
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	13
Conditional Bases with Property (A)	11
Approximation of Wave Packets on the Real Line	10
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	9
Extending the Meijer G-Function	9
Quadrature Domains Packing	8
Fourier Interpolation with Zeros of Zeta and L-Functions	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
Spectral Deviation of Concentration Operators on Reproducing Kernel Hilbert Spaces	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Riesz Energy Problems with External Fields and Related Theory	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	6
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	6
Adapted Variable Density Subsampling for Compressed Sensing	6
Minimizing Point Configurations for Tensor Product Energies on the Torus	6
Sharp Embeddings Between Weighted Paley-Wiener Spaces	6

Lacunary Wavelet Series on Cantor Sets	6
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	6
Hyperuniform Point Sets on Projective Spaces	6
Global Universal Approximation of Functional Input Maps on Weighted Spaces	5
The Bispectral Problem, the Darboux Process, Monodromy and the Hermite Operator	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5
Sharp Bernstein Inequalities on Simplex	5
Multivariate Generalized Hermite Subdivision Schemes	5
On the Log-Concavity of the Wright Function	5
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	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
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings	4
$$L_2$$-Approximation Using Median Lattice Algorithms	4
Dual Smale’s Mean Value Conjecture for $$n=7$$	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
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Spherical Analysis of Learning Nonlinear Functionals	3
Approximation with One-Bit Polynomials in Bernstein Form	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Universal Optimality of T-avoiding Spherical Codes and Designs	3
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	3
Approximate Taylor Theorem for Analytic Lipschitz Functions	3
Polynomial Approximation on $$C^2$$-Domains	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Points on $$\operatorname {SO}(3)$$ with low logarithmic energy	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	3
Universal Sampling Discretization	3
On the Logarithmic Energy of Solutions to the Polynomial Eigenvalue Problem	3
Approximation Order of Kolmogorov, Gelfand, and Linear Widths for Sobolev Embeddings in Euclidean Measure Spaces	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
Singular Value Perturbation and Deep Network Optimization	3
Compactly Supported, Orthogonal, Continuous Piecewise Polynomial Multiresolution Analysis	3
Shrinking Schauder Frames and Their Associated Bases	3
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	3
Asymptotics and Zeros of a Special Family of Jacobi Polynomials	3
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	2
Uniform Approximation of Continuous Couplings	2
Inner Riesz Balayage in Minimum Energy Problems with External Fields	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Set-Valued $$\alpha $$-Fractal Functions	2
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	2
A Malmquist–Steinmetz Theorem for Difference Equations	2
A lower bound for the dimension of tetrahedral splines in large degree	2
Uniform Asymptotic Expansions for Gegenbauer Polynomials and Related Functions via Differential Equations Having a Simple Pole	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2

Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	2
On Dunkl Schrödinger Semigroups with Green Bounded Potentials	2
Ferrers Functions of Arbitrary Degree and Order and Related Functions	2
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains	2
Dirac Operators with Exponentially Decaying Entropy	2
Elliptic $$\mathrm A_n$$ Selberg Integrals	2
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	2
QMC Integration Based on Arbitrary (t, m, s)-Nets Yields Optimal Convergence Rates on Several Scales of Function Spaces	1
Riesz Equilibrium on a Ball in the External Field of a Point Charge	1
Minimum Energy Problems with External Fields on Locally Compact Spaces	1
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality	1
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?	1
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases	1
Stability of Least Squares Approximation under Random Sampling	1
Modulated Bi-Orthogonal Polynomials on the Unit Circle: The $$2j-k$$ and $$j-2k$$ Systems	1
Shape Preserving Approximation of Periodic Functions: Conclusion	1
The Product of m Real $$N\times N$$ Ginibre Matrices: Real Eigenvalues in the Critical Regime $$m=O(N)$$	1
Richard S. Varga (October 9, 1928 -February 25, 2022)	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
On Sobolev and Besov Spaces of Hybrid Regularity	1
Convergence Analysis of Online Algorithms for Vector-Valued Kernel Regression	1
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere	1
Polynomial Argmin for Recovery and Approximation of Multivariate Discontinuous Functions	1
Near-Best Adaptive Approximation on Conforming Meshes	1
Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian	1
Packing Theory Derived from Phyllotaxis and Products of Linear Forms	1
On a Class of Elliptic Orthogonal Polynomials and their Integrability	1
Universal approximation with complex-valued deep narrow neural networks	1
A Lower Bound for the Logarithmic Energy on $$\mathbb {S}^2$$ and for the Green Energy on $$\mathbb {S}^n$$	1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality	1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials	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
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	1
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains	1
Approximation results for Gradient Flow Trained Shallow Neural Networks in 1d	1
Applications of the Lipschitz Summation Formula and a Generalization of Raabe’s Cosine Transform	1
Existence of Almost Greedy Bases in Mixed-Norm Sequence and Matrix Spaces, Including Besov Spaces	1
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy	1
Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials	1