Enviar artigo por via de e-mail On the rate of convergence in L of Fourier sine series with monotone coefficients
- Autores: Telyakovskii S.A.1
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Afiliações:
- Steklov Mathematical Institute
- Edição: Volume 100, Nº 3-4 (2016)
- Páginas: 472-476
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149733
- DOI: https://doi.org/10.1134/S0001434616090145
- ID: 149733
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Resumo
It is shown that the exact order of decrease of the norm in L of the remainder of a Fourier sine series with monotone coefficients can be expressed in terms of the coefficients of the series just as for a series with convex coefficients. But the numerical multipliers in the estimates are different.
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S. Telyakovskii
Steklov Mathematical Institute
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Email: sergeyaltel@ya.ru
Rússia, Moscow
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