Constructive Approximation

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 2021-04-01 to 2025-04-01.)
ArticleCitations
Approximation and Localized Polynomial Frame on Double Hyperbolic and Conic Domains123
Fast and Stable Approximation of Analytic Functions from Equispaced Samples via Polynomial Frames77
Lipschitz Widths46
Properties of Vector-Valued $$\tau $$-Discrete Fractional Calculus and its Connection with Caputo Fractional Derivatives42
Construction of Nonlinear Approximation Schemes for Piecewise Smooth Data40
Duals of Besov and Triebel-Lizorkin Spaces Associated with Operators37
A lower bound for the dimension of tetrahedral splines in large degree36
Bounding Zolotarev Numbers Using Faber Rational Functions25
Component-by-Component Digit-by-Digit Construction of Good Polynomial Lattice Rules in Weighted Walsh Spaces20
Asymptotics of k-nearest Neighbor Riesz Energies16
Strong Asymptotic of Cauchy Biorthogonal Polynomials and Orthogonal Polynomials with Varying Measure14
Sampling Discretization of Integral Norms9
Multivariate Generalized Hermite Subdivision Schemes8
Markov’s Theorem for Weight Functions on the Unit Circle8
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere8
Recursion Formulas for Integrated Products of Jacobi Polynomials7
Greedy Expansions with Prescribed Coefficients in Hilbert Spaces for Special Classes of Dictionaries7
The spherical ensemble and quasi-Monte-Carlo designs7
New Orthogonality Relations for Super-Jack Polynomials and an Associated Lassalle–Nekrasov Correspondence6
Extension Operators for Some Ultraholomorphic Classes Defined by Sequences of Rapid Growth6
Correction to: Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness5
Estimates for the Largest Critical Value of $$T_n^{(k)}$$5
The Barron Space and the Flow-Induced Function Spaces for Neural Network Models5
Uniform Approximation of Continuous Couplings5
Expected Energy of Zeros of Elliptic Polynomials5
Sharp Constants of Approximation Theory: VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball4
The Newton Polyhedron and Positivity of $${}_2F_3$$ Hypergeometric Functions4
Gaussian Bounds for the Heat Kernel Associated to Prolate Spheroidal Wave Functions with Applications4
Bounds on Orthonormal Polynomials for Restricted Measures4
High-Order Approximation of Set-Valued Functions4
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere3
Duality and Difference Operators for Matrix Valued Discrete Polynomials on the Nonnegative Integers3
The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$3
Approximation of Wave Packets on the Real Line3
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension3
Sparse Estimation: An MMSE Approach3
Fourier Interpolation with Zeros of Zeta and L-Functions3
Do Flat Skew-Reciprocal Littlewood Polynomials Exist?2
Non-polynomial q-Askey Scheme: Integral Representations, Eigenfunction Properties, and Polynomial Limits2
On the Algebraic Difference Independence of the Euler Gamma Function $$\Gamma $$ and Dirichlet Series2
Extending the Meijer G-Function2
A Newman type bound for $$L_p[-1,1]$$-means of the logarithmic derivative of polynomials having all zeros on the unit circle2
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter2
On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of $${\mathbb {R}}^N$$2
Non-Hermitian Orthogonal Polynomials on a Trefoil2
Asymptotics of Chebyshev Rational Functions with Respect to Subsets of the Real Line2
Approximation Spaces of Deep Neural Networks2
On the Transition of Charlier Polynomials to the Hermite Function2
What Ron DeVore Means to Me2
Special issue of Constructive Approximation dedicated to Ronald A. DeVore2
The Complete Asymptotic Evaluation for Mellin Convolution Operators2
Pointwise Remez inequality2
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method2
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs2
The WCGA in $$L^p(\log L)^{\alpha }$$ Spaces2
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality2
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases2
Minimum Energy Problems with External Fields on Locally Compact Spaces2
CA Special Issue on Neural Network Approximation2
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold2
Strong Partially Greedy Bases and Lebesgue-Type Inequalities2
Orthogonal Polynomials with Periodically Modulated Recurrence Coefficients in the Jordan Block Case II2
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It2
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains1
On Discretizing Uniform Norms of Exponential Sums1
Unregularized Online Algorithms with Varying Gaussians1
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case1
Neural Network Identifiability for a Family of Sigmoidal Nonlinearities1
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions1
Wavelet-Type Expansion of Generalized Hermite Processes with Rate of Convergence1
Shrinking Schauder Frames and Their Associated Bases1
Matrix Continued Fractions Associated with Lattice Paths, Resolvents of Difference Operators, and Random Polynomials1
Recovery of Regular Ridge Functions on the Ball1
An Extremal Problem for the Bergman Kernel of Orthogonal Polynomials1
On the Fourier Coefficients of Powers of a Blaschke Factor and Strongly Annular Functions1
Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable Exponents1
Correction: Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum1
Complete Minimal Logarithmic Energy Asymptotics for Points in a Compact Interval: A Consequence of the Discriminant of Jacobi Polynomials1
Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line1
Asymptotic Behaviours of q-orthogonal Polynomials from a q-Riemann Hilbert Problem1
Zeros of Generalized Hypergeometric Polynomials via Finite Free Convolution: Applications to Multiple Orthogonality1
Optimal Sampling and Christoffel Functions on General Domains1
Discrepancy of Minimal Riesz Energy Points1
Robust and Resource-Efficient Identification of Two Hidden Layer Neural Networks1
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?1
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?1
Singular Value Perturbation and Deep Network Optimization1
Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations1
Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators1
Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials1
Sparse Approximation of Triangular Transports, Part II: The Infinite-Dimensional Case1
Universal Regular Conditional Distributions via Probabilistic Transformers1
Universal Sampling Discretization1
Maximal Convergence and Interpolation on Unconnected Sets1
Cyclic Polynomials in Dirichlet-Type Spaces in the Unit Ball of $${\mathbb {C}}^2$$1
Sampling Discretization of the Uniform Norm1
Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian1
On the Sparsity of LASSO Minimizers in Sparse Data Recovery1
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