On $M$ -- terms approximations Besov classes in Lorentz spaces
G. Akishev
TL;DR
This paper provides exact estimates for the best M-term approximations of Nikol'ski's and Besov's classes within Lorentz spaces with mixed norms, advancing the understanding of approximation theory in these function spaces.
Contribution
It introduces precise bounds for M-term approximations of Besov and Nikol'ski classes in Lorentz spaces with mixed norms, a novel contribution to approximation theory.
Findings
Exact estimation of best M-term approximations
Results apply to Nikol'ski's and Besov's classes
Advances understanding of approximation in Lorentz spaces
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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Taxonomy
TopicsMathematical Approximation and Integration · Advanced Harmonic Analysis Research · Approximation Theory and Sequence Spaces