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Problemy Analiza — Issues of Analysis, 2017, Volume 6(24), Issue 1, Pages 3–10
DOI: https://doi.org/10.15393/j3.art.2017.3750 (Mi pa209) 		 
Extension of the refined Gibbs' inequality

V. Adiyasuren, Ts. Batbold

National University of Mongolia, P.O. Box 46A/104, Ulaanbaatar 14201, Mongolia
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DOI: https://doi.org/10.15393/j3.art.2017.3750
Abstract: In this note, we give an extension of the refined Gibbs' inequality containing arithmetic and geometric means. As an application, we obtain converse and refinement of the arithmetic-geometric mean inequality.
Keywords: arithmetic-geometric mean inequality, Jensen's inequality, log-function, Gibbs' inequality.
Funding agency Grant number
Korea Foundation for Advanced Studies 18, 2016-2017
This work was supported by the Asia Research Center at the National University of Mongolia and the Korea Foundation of Advanced Studies (Project No. 18, 2016–2017).
Received: 16.10.2016
Revised: 30.01.2017
Accepted: 30.01.2017
Bibliographic databases:
Document Type: Article
UDC: 517.52
MSC: 26D15, 94A15
Language: English
Citation: V. Adiyasuren, Ts. Batbold, “Extension of the refined Gibbs' inequality”, Probl. Anal. Issues Anal., 6(24):1 (2017), 3–10
Citation in format AMSBIB
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\by V.~Adiyasuren, Ts.~Batbold
\paper Extension of the refined Gibbs' inequality
\jour Probl. Anal. Issues Anal.
\yr 2017
\vol 6(24)
\issue 1
\pages 3--10
\mathnet{http://mi.mathnet.ru/pa209}
\crossref{https://doi.org/10.15393/j3.art.2017.3750}
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\elib{https://elibrary.ru/item.asp?id=29450647}
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