On convergence of multiple trigonometric series with monotone coefficients
- Autores: Dzhumabaeva D.G.1, Dyachenko M.I.2, Nursultanov E.D.3
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Afiliações:
- Gumilev Eurasian National University
- Moscow State University
- Kazakh Division
- Edição: Volume 58, Nº 2 (2017)
- Páginas: 205-214
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171051
- DOI: https://doi.org/10.1134/S0037446617020033
- ID: 171051
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Resumo
We study the Pringsheim pointwise convergence of multiple trigonometric series. We obtain a condition on the coefficients of the series that guarantees its Pringsheim convergence and prove the unimprovability of this condition.
Sobre autores
D. Dzhumabaeva
Gumilev Eurasian National University
Autor responsável pela correspondência
Email: jamilya_ast@mail.ru
Cazaquistão, Astana
M. Dyachenko
Moscow State University
Email: jamilya_ast@mail.ru
Rússia, Moscow
E. Nursultanov
Kazakh Division
Email: jamilya_ast@mail.ru
Cazaquistão, Astana
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