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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Ukrains’kyi Matematychnyi Zhurnal