On orders of approximation of function classes in Lorentz spaces with anisotropic norm

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S0001434607010014.pdf (1.25 MB)

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2007-02

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Nauka/Interperiodica

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.

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anisotropic Lorentz space, besov class, approximation of function classes, trigonometric polynomial, periodic function, lebesgue space, ho¨ lder’s inequality

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Akishev G. A. On orders of approximation of function classes in Lorentz spaces with anisotropic norm/Akishev G. A.//Mathematical Notes.-2007.-№2(81).- pp 3–14

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https://rep.buketov.edu.kz/handle/data/1997

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