Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2016; 31(1): 95-100

Printed January 31, 2016

https://doi.org/10.4134/CKMS.2016.31.1.95

Copyright © The Korean Mathematical Society.

Refined arithmetic-geometric mean inequality and new entropy upper bound

Vandanjav Adiyasuren, Tserendorj Batbold, and Muhammad Adil Khan

National University of Mongolia, National University of Mongolia, Department of Mathematics

Abstract

In this paper, we establish a new refinement of the arithmetic-geometric mean inequality. Applying this result in information theory, we obtain a more precise upper bound for Shannon's entropy.

Keywords: arithmetic-geometric mean inequality, entropy, Jensen's in\-equality

MSC numbers: Primary 26D15, 94A17

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