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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2015 Volume 21, Number 4, Pages 3–13 (Mi timm1224)
This article is cited in 1 paper

Estimates for Kolmogorov widths of the Nikol'skii — Besov — Amanov classes in the Lorentz space

G. A. Akishevab

a E. A. Buketov Karaganda State University
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: The Lorentz space with anisotropic norm of periodic functions of several variables is considered. Estimate for the Kolmogorov widths of the Nikol'skii — Besov — Amanov classes in the Lorentz space with anisotropic norm are found.

Keywords: lorentz space, nikol'skii-besov class, kolmogorov width.

UDC: 517.5

Received: 10.08.2015


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 296, suppl. 1, 1–12

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