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
