Email this article On the rate of convergence in L of Fourier sine series with monotone coefficients
- Authors: Telyakovskii S.A.1
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Affiliations:
- Steklov Mathematical Institute
- Issue: Vol 100, No 3-4 (2016)
- Pages: 472-476
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149733
- DOI: https://doi.org/10.1134/S0001434616090145
- ID: 149733
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Abstract
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.
About the authors
S. A. Telyakovskii
Steklov Mathematical Institute
Author for correspondence.
Email: sergeyaltel@ya.ru
Russian Federation, Moscow
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