Besov spaces and \(K\)-functionals in \(L_p,\quad 0

DOI10.1007/BF02679890zbMath0962.46024MaRDI QIDQ1582571

Song Li, Zhengchang Wu, Bo Lin Ma

Publication date: 14 February 2001

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

zbMATH Keywords

Besov spacessimple polytope\(K\)-functionalstrigonometric polynomial approximationalgebraic polynomial approximationentire function of exponential type approximation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

Cites Work

• \(K\)-functionals for Besov spaces
• Polynomial approximation in \(L_ p (O<p<1)\)
• Optimal approximation class for multivariate Bernstein operators
• The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Polynomial approximation in \(L_ p(S)\) for \(p>0\)
• Remarks on Besov Spaces and Best Polynomial Approximation
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