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Start Over Descriptor "Bose–Einstein entropy" Topic concave functions
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1. Bounds for the Differences between Arithmetic and Geometric Means and Their Applications to Inequalities.

Author

Furuichi, Shigeru and Minculete, Nicuşor

Subjects
*SYMMETRIC functions, *CONVEX functions, *ARITHMETIC mean, *ENTROPY (Information theory), *CONCAVE functions
Abstract

Refining and reversing weighted arithmetic-geometric mean inequalities have been studied in many papers. In this paper, we provide some bounds for the differences between the weighted arithmetic and geometric means, using known inequalities. We improve the results given by Furuichi-Ghaemi-Gharakhanlu and Sababheh-Choi. We also give some bounds on entropies, applying the results in a different approach. We explore certain convex or concave functions, which are symmetric functions on the axis t = 1 / 2 . [ABSTRACT FROM AUTHOR]

Published
2021
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