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Matematicheskie Zametki, 2007, Volume 81, Issue 1, Pages 3–16
DOI: https://doi.org/10.4213/mzm3512 (Mi mzm3512) 		 
This article is cited in 2 scientific papers (total 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
Full-text PDF (494 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3512
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.
Received: 16.05.2003
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 3–14
DOI: https://doi.org/10.1134/S0001434607010014
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: G. A. Akishev, “On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm”, Mat. Zametki, 81:1 (2007), 3–16; Math. Notes, 81:1 (2007), 3–14
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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