Geodesic
The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2009), pp. 25-33

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In this paper we estimate the order of approximation of S. M. Nikol'skii and O. V. Besov classes in the norm of the anisotropic Lorentz space. We also obtain bounds for ortho-diameters of these classes.
Keywords: approximation, Lorentz space, ortho-diameter. 
@article{IVM_2009_2_a1,
     author = {G. A. Akishev},
     title = {The ortho-diameters of {Nikol'skii} and {Besov} classes in the {Lorentz} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--33},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_2_a1/}
}
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G. A. Akishev. The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2009), pp. 25-33. http://geodesic.mathdoc.fr/item/IVM_2009_2_a1/