Some extremal problems in the Orlicz spaces(in Ukrainian) 

Author 
andy709@list.ru, shidlich@imath.kiev.ua, stolch@mail.ru
Institute of Mathematics of Ukrainian National Academy of Sciences, Donbas State Pedagogical University

Abstract 
We obtained the exact values of analogues of the best $n$term approximations and the basis widths in the Orlicz spaces $L_M(\mathbb{A};d\mu)$ of classes of nonnegative functions, which can be represented as the product of a fixed function and functions from the unit balls of the spaces $L_p(\mathbb{A};d\mu)$ and $L_M(\mathbb{A};d\mu)$, respectively.

Keywords 
Orlicz spaces; best nterm approximations; basis widths

Reference 
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Pages 
2132

Volume 
42

Issue 
1

Year 
2014

Journal 
Matematychni Studii

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