Approximation of functions in several variables from classes \(H^{\Omega}_p\) by polynomials with respect to the Haar system

DOI10.1007/s10476-009-0402-zzbMath1212.41029OpenAlexW19982099MaRDI QIDQ987573

Sergei A. Stasyuk

Publication date: 13 August 2010

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-009-0402-z

zbMATH Keywords

approximation by polynomials\(M\)-term approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items

Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system, Multiple Haar basis and \(m\)-term approximations for functions from the Besov classes. I, Best \(m\)-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol'skii-Besov-type classes, Best bilinear approximations of the classes \(S_{p,\theta}^\Omega B\) of periodic functions of many variables, Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system

Cites Work

• The best \(m\)-term approximation and greedy algorithms
• Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
• On approximation and characterization of periodic multivariate functions which have a majorant of the mixed moduli of continuity of specific kind
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
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