Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2013, Volume 5, Issue 2, Pages 178–179 (Mi vyurm98)  

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Polynomial as a sum of periodic functions

A. Yu. Evnin

South Ural State University
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Abstract: It is proved that an arbitrary polynomial of degree $n$ representatives as a sum of periodic functions, the minimum number of terms in this sum is $n+1$.
Keywords: periodic functions; counterexamples in the analysis.
Received: 30.05.2013
Document Type: Article
UDC: 517.17:517.51
Language: Russian
Citation: A. Yu. Evnin, “Polynomial as a sum of periodic functions”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 178–179
Citation in format AMSBIB
\Bibitem{Evn13}
\by A.~Yu.~Evnin
\paper Polynomial as a sum of periodic functions
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2013
\vol 5
\issue 2
\pages 178--179
\mathnet{http://mi.mathnet.ru/vyurm98}
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  • https://www.mathnet.ru/eng/vyurm/v5/i2/p178
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    Full-text PDF :211
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