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Permutations and piecewise-constant approximation of continuous functions of n variables

We consider the problem of approximation of a continuous function f given on an n-dirnensional cube by step functions in the metrics of C and L p. We obtain exact error estimates in terms of the modulus of continuity of the function f or a special permutation of it.

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Bibliographic Details
Date:	1998
Main Authors:	Korneichuk, N. P., Корнейчук, Н. П.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4871
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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