Approximation on anisotropic Besov classes with mixed norms by standard information

DOI10.1016/j.jco.2004.09.004zbMath1078.41027OpenAlexW2055697568MaRDI QIDQ558005

Fred J. Hickernell, Gen Sun Fang, Hu-An Li

Publication date: 30 June 2005

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2004.09.004

zbMATH Keywords

InterpolationInformation-based complexityExact orderOptimal recovery

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere ⋮ Optimal integration error on anisotropic classes for restricted Monte Carlo and quantum algorithms ⋮ Order estimates of approximation characteristics of functions from the anisotropic Nikol'skii-Besov classes ⋮ Approximation of anisotropic classes by standard information ⋮ Sampling numbers of a class of infinitely differentiable functions

Cites Work

• Unnamed Item
• Unnamed Item
• Vector greedy algorithms
• On a conjecture of Huber concerning the convergence of projection pursuit regression
• A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
• Martingales with values in uniformly convex spaces
• Rates of convex approximation in non-Hilbert spaces
• Nonlinear methods of approximation
• Some remarks on greedy algorithms
• Weak greedy algorithms
• Simultaneous approximation by greedy algorithms
• Universal approximation bounds for superpositions of a sigmoidal function
• Greedy algorithms in Banach spaces

This page was built for publication: Approximation on anisotropic Besov classes with mixed norms by standard information