EXTENSION OF THE REFINED GIBBS INEQUALITY

EXTENSION OF THE REFINED GIBBS INEQUALITY

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.

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Bibliographische Detailangaben
Veröffentlicht in:Issues of analysis 2017-01, Vol.24 (1), p.3-10
Hauptverfasser: Adiyasuren, Vandanjav, Batbold, Tserendorj
Format: Artikel
Sprache:eng
Schlagworte:
arithmetic-geometric mean inequality
Gibbs’ inequality
Jensen’s inequality
log-function
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Beschreibung
Zusammenfassung: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.
ISSN:2306-3432
2306-3424
2306-3432
DOI:10.15393/j3.art.2017.3750