Estimates for the Kolmogorov widths of the Nikol’skii–Besov–Amanov classes in the Lorentz space


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Abstract

The Lorentz space with anisotropic norm of periodic functions of several variables is considered. Estimates for the Kolmogorov widths of the Nikol’skii–Besov–Amanov classes in the Lorentz space with anisotropic norm are found.

About the authors

G. Akishev

Karaganda State University; Ural Federal University

Author for correspondence.
Email: akishev_g@mail.ru
Kazakhstan, Karaganda, 470074; Yekaterinburg, 620000

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