Email this article On Approximation Orders of Functions of Several Variables in the Lorentz Space
- Authors: Akishev G.1,2
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Affiliations:
- Karaganda State University
- Ural Federal University
- Issue: Vol 300, No Suppl 1 (2018)
- Pages: 9-24
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175460
- DOI: https://doi.org/10.1134/S0081543818020037
- ID: 175460
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Abstract
We consider the anisotropic Lorentz space of periodic functions. Sufficient conditions are proved for a function to belong to the anisotropic Lorentz space. Estimates for the order of approximation by trigonometric polynomials of the Nikol’skii–Besov class in the anisotropic Lorentz space are established.
About the authors
G. Akishev
Karaganda State University; Ural Federal University
Author for correspondence.
Email: akishev_g@mail.ru
Kazakhstan, Karaganda, 470074; Yekaterinburg, 620000
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