THE RESEARCH PROGRESS OF BNU GROUP ON RELATIVE WIDTHS

DOI10.1142/S0219691309003227zbMath1185.42019MaRDI QIDQ5189977

Weiwei Xiao, Yong-ping Liu, Wei Yang

Publication date: 11 March 2010

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

relative \(n\)-widthperiodic convolution classB-kernelNCVD-kernelrelative average width

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

• Relative average widths of Sobolev spaces in \(L_2({\mathbb R}^d)\)
• Average widths of Sobolev classes on \(\mathbb{R}^ n\)
• Approximation of Sobolev classes by their finite-dimensional sections
• Relative widths of smooth functions determined by linear differential operator
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
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