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K-interpolations in problems of uniform approximation of functions

Given an arbitrary metric compactum Q, we compute the K-functional of a pair (C(Q), Cω(Q)) and derive two-sided bounds for (C[−π,π], C2&nbsp;[−π,π]). We prove interpolation theorems and study applications to problems of the theory of approximation.

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Bibliographic Details
Date:	1992
Main Authors:	Pichugov , S. A., Пичугов , С. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7894
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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