On Approximation Orders of Functions of Several Variables in the Lorentz Space
- 作者: Akishev G.1,2
-
隶属关系:
- Karaganda State University
- Ural Federal University
- 期: 卷 300, 编号 Suppl 1 (2018)
- 页面: 9-24
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175460
- DOI: https://doi.org/10.1134/S0081543818020037
- ID: 175460
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详细
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.
作者简介
G. Akishev
Karaganda State University; Ural Federal University
编辑信件的主要联系方式.
Email: akishev_g@mail.ru
哈萨克斯坦, Karaganda, 470074; Yekaterinburg, 620000
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