On degree of approximation of classes in Lorentz space
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 51-67

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In this paper the anisotropic Lorentz space of periodic functions is considered. The sufficient condition embedding classes in Lorentz spaces are obtained.We establish the upper estimate of the order of approximation O. V. Besov’s classes by trigonometric polynomials in Lorentz spaces with anisotropic norm.
@article{SEMR_2008_5_a6,
     author = {G. A. Akishev},
     title = {On degree of approximation of classes in {Lorentz} space},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {51--67},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a6/}
}
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G. A. Akishev. On degree of approximation of classes in Lorentz space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 51-67. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a6/