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.
Vandanjav Adiyasuren, Tserendorj Batbold, and Muhammad Adil Khan
National University of Mongolia, National University of Mongolia, Department of Mathematics
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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