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 2022-05-01 to 2026-05-01.)

Article	Citations
Asymptotics of k-nearest Neighbor Riesz Energies	31
Estimates for the Largest Critical Value of $$T_n^{(k)}$$	23
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	12
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis	12
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications	10
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball	10
Extending the Meijer G-Function	9
Approximation of Wave Packets on the Real Line	8
Sparse Estimation: An MMSE Approach	8
Fourier Interpolation with Zeros of Zeta and L-Functions	8
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials	7
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations	7
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers	7
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line	7
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?	7
Conditional Bases with Property (A)	7
Sobolev-Type Embeddings for Neural Network Approximation Spaces	7
Analysis of a Stabilised Finite Element Method for Power-Law Fluids	6
Adapted Variable Density Subsampling for Compressed Sensing	6
The Bispectral Problem, the Darboux Process, Monodromy and the Hermite Operator	6
Riesz Energy Problems with External Fields and Related Theory	6
On the Log-Concavity of the Wright Function	6
Lower bounds for Weighted Chebyshev and Orthogonal Polynomials	5
Sharp Bernstein Inequalities on Simplex	5

Global Universal Approximation of Functional Input Maps on Weighted Spaces	5
Sharp Embeddings Between Weighted Paley-Wiener Spaces	5
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth	5
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks	5
Free Energy and Fluctuations in the Random Normal Matrix Model with Spectral Gaps	5
Bounding Zolotarev Numbers Using Faber Rational Functions	5
Correction: Universal Approximation with Complex-Valued Deep Narrow Neural Networks	4
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem	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
A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings	4
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method	4
Multivariate Generalized Hermite Subdivision Schemes	4
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits	4
Barrier Nonsubordinacy and Absolutely Continuous Spectrum of Block Jacobi Matrices	4
Approximation with One-Bit Polynomials in Bernstein Form	3
Polynomial Approximation on $$C^2$$-Domains	3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension	3
The Complete Asymptotic Evaluation for Mellin Convolution Operators	3
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks	3
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents	3
Wall Polynomials on the Real Line: A Classical Approach to OPRL Khrushchev’s Formula	3
Monotone Discretization of Anisotropic Differential Operators Using Voronoi’s First Reduction	3
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs	3
Spherical Analysis of Learning Nonlinear Functionals	3
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?	3
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions	3
Points on $$\operatorname {SO}(3)$$ with low logarithmic energy	3
Bounds on Orthonormal Polynomials for Restricted Measures	3
Shrinking Schauder Frames and Their Associated Bases	3
Singular Value Perturbation and Deep Network Optimization	3
Loewner Theory for Bernstein Functions I: Evolution Families and Differential Equations	2
Injectivity, Stability, and Positive Definiteness of Max Filtering	2
Universal Sampling Discretization	2
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators	2
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points	2
Uniform Approximation of Continuous Couplings	2
Uniform Asymptotic Expansions for Gegenbauer Polynomials and Related Functions via Differential Equations Having a Simple Pole	2
Cyclic Pólya Ensembles on the Unitary Matrices and their Spectral Statistics	2
Set-Valued $$\alpha $$-Fractal Functions	2
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum	2
Exponential Approximation of Band-Limited Functions from Nonuniform Sampling by Regularization Methods	2
Asymptotics and Zeros of a Special Family of Jacobi Polynomials	2
Ferrers Functions of Arbitrary Degree and Order and Related Functions	2
Inner Riesz Balayage in Minimum Energy Problems with External Fields	2
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives	2
Correction to: Wiener Algebras and Trigonometric Series in a Coordinated Fashion	2
Elliptic $$\mathrm A_n$$ Selberg Integrals	2
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions	2
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials	2

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