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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 81, Issue 1, Pages 3–16 (Mi mzm3512)

This article is cited in 2 papers

On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm

G. A. Akishev

E. A. Buketov Karaganda State University

Abstract: In this paper, we study the anisotropic Lorentz space of periodic functions. We establish a sharp estimate of the order of approximation for the Besov class by trigonometric polynomials in Lorentz spaces with anisotropic norm.

Keywords: anisotropic Lorentz space, Besov class, approximation of function classes, trigonometric polynomial, periodic function, Lebesgue space, Hölder's inequality.

UDC: 517.518

Received: 16.05.2003

DOI: 10.4213/mzm3512


 English version:
Mathematical Notes, 2007, 81:1, 3–14

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© Steklov Math. Inst. of RAS, 2025