Sparse approximation of some function classes with respect to multiple Haar system on the unit cube

DOI10.1063/1.5000616zbMath1494.46030OpenAlexW2754017260MaRDI QIDQ5062183

Dauren B. Bazarkhanov

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000616

zbMATH Keywords

Haar systembest \(N\)-term approximationLizorkin-Triebel type classesNikol'skii-Besov type classes

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Cites Work

• Nonlinear trigonometric approximations of multivariate function classes
• Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness -- the case of compact embeddings
• Nonlinear approximations of classes of periodic functions of many variables
• Nonlinear methods of approximation
• Multiple Haar basis and \(m\)-term approximations of functions from the Besov classes. II
• Constructive sparse trigonometric approximation for functions with small mixed smoothness
• Greedy approximation with regard to non-greedy bases
• Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sparse approximation of some function classes with respect to multiple Haar system on the unit cube