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Journals / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

On M-term approximations of the Nikol’skii - Besov class

G. Akishev
Pages
297–310
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

We obtain the exact estimation of the best M-term approximations of Nikol’skii’s and Besov’s classes in the Lebesgue space with the mixed norm.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider a Lebesgue space with a mixed norm of periodic functions of many variables.
📊
Key Findings & Data:In this paper, we consider a Lebesgue space with a mixed norm of periodic functions of many variables.
💡
Conclusion & Impact:We obtain the exact estimation of the best M-term approximations of Nikol’skii’s and Besov’s classes in the Lebesgue space with the mixed norm.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lebesgue space · Nikol’skii - Besov class · approximation

Abstract

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

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Cite This Article

Akishev, G. (2022). On M-term approximations of the Nikol’skii - Besov class. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 297–310. https://ajindex.com/articles/530223

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