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Daghestan Electronic Mathematical Reports, 2017, Issue 7, Pages 47–51
DOI: https://doi.org/10.31029/demr.7.5 (Mi demr36) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients

M. G. Magomed-Kasumovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
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DOI: https://doi.org/10.31029/demr.7.5
Abstract: Exact order-of-magnitude estimates of convergence rate of sine and cosine series with coefficients $1/k^q$, $q>1$, are obtained. In case when $0 \le q \le 1$ growth rate exact order-of-magnitude estimates of partial sums of sine and cosine series are proven.
Keywords: sine series, cosine series, lower estimate, convergence rate, growth rate.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00486a
This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 16-01-00486a)
Received: 22.03.2017
Revised: 31.03.2017
Accepted: 03.04.2017
Document Type: Article
UDC: 517.521
Language: Russian
Citation: M. G. Magomed-Kasumov, “Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 47–51
Citation in format AMSBIB
\Bibitem{Mag17}
\by M.~G.~Magomed-Kasumov
\paper Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients
\jour Daghestan Electronic Mathematical Reports
\yr 2017
\issue 7
\pages 47--51
\mathnet{http://mi.mathnet.ru/demr36}
\crossref{https://doi.org/10.31029/demr.7.5}
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