Geodesic
Extension of the refined Gibbs' inequality
Problemy analiza, Tome 6 (2017) no. 1, pp. 3-10

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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. 
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     author = {V. Adiyasuren and Ts. Batbold},
     title = {Extension of the refined {Gibbs'} inequality},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2017_6_1_a0/}
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V. Adiyasuren; Ts. Batbold. Extension of the refined Gibbs' inequality. Problemy analiza, Tome 6 (2017) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/PA_2017_6_1_a0/