Best \(m\)-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers

DOI10.1007/s10114-009-6478-3zbMath1196.41024OpenAlexW1976423894MaRDI QIDQ1958727

Ren Suo Li, Yong-ping Liu

Publication date: 4 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-6478-3

zbMATH Keywords

\(L_p\) spacesone-sided approximationnon-linear best \(m\)-term approximationtrigonometric function system and greedy approximation algorithm

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• The best \(m\)-term approximation and greedy algorithms
• Greedy algorithm and \(m\)-term trigonometric approximation
• Nonlinear approximation by trigonometric sums
• On the asymptotically optimal rate of approximation of multiplier operators from \(L_p\) into \(L_q\)
• On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\)
• On one-sided approximation by trigonometrical polynomials
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
• Convergence of greedy approximation II. The trigonometric system

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