Geodesic
On approximation orders of functions of several variables in the Lorentz space
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 13-28

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We consider the anisotropic Lorentz space of periodic functions. Sufficient conditions are proved for a function to belong to the anisotropic Lorentz space. Estimates for the order of approximation by trigonometric polynomials of the Nikol'skii-Besov class in the anisotropic Lorentz space are established.
Keywords: Lorentz space, best approximation.
Mots-clés : Nikol'skii-Besov class 
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     title = {On approximation orders of functions of several variables in the {Lorentz} space},
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G. A. Akishev. On approximation orders of functions of several variables in the Lorentz space. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 13-28. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a2/