Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. -0001; 31(1): 95-100

Printed November 30, -0001

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