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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Original Russian Text © G. A. Akishev, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 3–16.
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Akishev, G.A. On orders of approximation of function classes in Lorentz spaces with anisotropic norm. Math Notes 81, 3–14 (2007). https://doi.org/10.1134/S0001434607010014
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DOI: https://doi.org/10.1134/S0001434607010014