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Mat. Zametki, 1976, Volume 19, Issue 6, Pages 873–885 (Mi mz7810)  

A cyclic sum with 12 terms

E. K. Godunova, V. I. Levin

Moscow State Pedagogical Institute

Abstract: The inequality
$$ \sum_{i=1}^{12}\frac{x_i}{x_{i+1}+x_{i+2}}\ge6 $$
is proved for all $x_i\ge0$, $x_i+x_{i+1}>0$ where $x_{12+i}=x_i$

Full text: PDF file (759 kB)

English version:
Mathematical Notes, 1976, 19:6, 510–517

Bibliographic databases:

UDC: 517.5
Received: 16.12.1974

Citation: E. K. Godunova, V. I. Levin, “A cyclic sum with 12 terms”, Mat. Zametki, 19:6 (1976), 873–885; Math. Notes, 19:6 (1976), 510–517

Citation in format AMSBIB
\Bibitem{GodLev76}
\by E.~K.~Godunova, V.~I.~Levin
\paper A~cyclic sum with 12 terms
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 6
\pages 873--885
\mathnet{http://mi.mathnet.ru/mz7810}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=424578}
\zmath{https://zbmath.org/?q=an:0346.26014|0344.26008}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 6
\pages 510--517
\crossref{https://doi.org/10.1007/BF01149930}


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