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

2007

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DOI 10.1134/s0001434607010014
Data confidence 70 medium
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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.