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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 2, Pages 25–33 (Mi ivm1258)
This article is cited in 4 papers

The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces

G. A. Akishev

E. A. Buketov Karaganda State University

Abstract: In this paper we estimate the order of approximation of S. M. Nikol'skii and O. V. Besov classes in the norm of the anisotropic Lorentz space. We also obtain bounds for ortho-diameters of these classes.

Keywords: approximation, Lorentz space, ortho-diameter.

UDC: 517.518

Received: 06.03.2006


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:2, 21–29

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© Steklov Math. Inst. of RAS, 2025