Besov spaces and \(K\)-functionals in \(L_p,\quad 0<p<1\)
type: Item
instance of: scholarly article
title: Besov spaces and \(K\)-functionals in \(L_p,\quad 0<p<1\)
zbMATH Open document ID: 0962.46024
DOI: 10.1007/BF02679890
author: Song Li
author: Zhengchang Wu
author: Bolin Ma
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2001-02-14T00:00:00Z
review text: The authors investigate Besov spaces and their connection with trigonometric polynomial approximation in \(L_p[- \pi,\pi]\), algebraic polynomial approximation in \(L_p[-1, 1]\), algebraic polynomial approximation in \(L_p(S)\), and entire function of exponential type approximation in \(L_p(R)\), and characterize \(K\)-functionals for certain pairs of function spaces including\break \((L_p[-\pi,\pi], B^\alpha_s(L_p[-\pi, \pi]))\), \((L_p(R), B^\alpha_s(L_p(R)))\), \((L_p[- 1,1], \overline B^\alpha_s(L_p[-1, 1]))\), and\break \((L_p(S), \overset{=} B^\alpha_s(L_p(S)))\), where \(0< s\leq+\infty\), \(0< p< 1\), \(S\) is a simple polytope and \(0<\alpha< r\).
reviewed by: Stanisław Wedrychowicz
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46B70
zbMATH DE Number: 1517047
zbMATH Keywords: Besov spaces
zbMATH Keywords: trigonometric polynomial approximation
zbMATH Keywords: algebraic polynomial approximation
zbMATH Keywords: entire function of exponential type approximation
zbMATH Keywords: \(K\)-functionals
zbMATH Keywords: simple polytope
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1517047