Geodesic
On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 3-16

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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.
Mots-clés : anisotropic Lorentz space, Besov class, Lebesgue space, Hölder's inequality.
Keywords: approximation of function classes, trigonometric polynomial, periodic function 
G. A. Akishev. On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a0/
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