On Approximation Orders of Functions of Several Variables in the Lorentz Space
- Autores: Akishev G.1,2
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Afiliações:
- Karaganda State University
- Ural Federal University
- Edição: Volume 300, Nº Suppl 1 (2018)
- Páginas: 9-24
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175460
- DOI: https://doi.org/10.1134/S0081543818020037
- ID: 175460
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Resumo
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.
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Sobre autores
G. Akishev
Karaganda State University; Ural Federal University
Autor responsável pela correspondência
Email: akishev_g@mail.ru
Cazaquistão, Karaganda, 470074; Yekaterinburg, 620000
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