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2016•arXiv (Cornell University)Open access

On $M$ -- terms approximations Besov classes in Lorentz spaces

Gabdolla Akishevich Akishev

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Abstract

In this paper we consider Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol'ski's, Besov's classes in the Lorentz space with the mixed norm.

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In this paper we consider Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol'ski's, Besov's classes in the Lorentz space with the mixed norm.

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Available abstract

In this paper we consider Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol'ski's, Besov's classes in the Lorentz space with the mixed norm.

Key concepts: Lorentz transformation, Lorentz space, Besov space, Norm (philosophy), Mathematics, Approximations of π, Space (punctuation), Pure mathematics

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