Approximative Characteristics of Modular Orlicz Spaces


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Abstract

We obtain the exact values of the best approximations, basic widths and Kolmogorov widths for some sets of images of multipliers in the modular Orlicz spaces lM: We give a description of the space SM,N of all multipliers from the space lM to lN.

About the authors

Stanislav O. Chaichenko

Donbas State Pedagogical University

Author for correspondence.
Email: s.chaichenko@gmail.com
Ukraine, Slov’yansk

Andrii L. Shydlich

Institute of Mathematics of the NAS of Ukraine

Email: s.chaichenko@gmail.com
Ukraine, Kiev

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