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Approximation of Sobolev Classes by Their Sections of Finite Dimension

For Sobolev classes of periodic functions of one variable with restrictions on higher derivatives in L 2, we determine the exact orders of relative widths characterizing the best approximation of a fixed set by its sections of given dimension in the spaces L q.

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Bibliographic Details
Date:	2002
Main Authors:	Konovalov, V. N., Коновалов, В. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4103
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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