The Kolmogorov widths of weighted Sobolev classes in weighted L-q-spaces and the approximation numbers of the corresponding embedding operators are estimated. The case where the weights affect the asymptotics is considered.
机构:
Moscow MV Lomonosov State Univ, Moscow 119991, Russia
Moscow Ctr Fundamental & Appl Math, Moscow 119991, RussiaMoscow MV Lomonosov State Univ, Moscow 119991, Russia
机构:
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
Anhui Univ, Sch Comp Sci & Technol, Hefei 230039, Anhui, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
Zhang, Shun
Fang, Gensun
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Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China