Bounds for the Differences between Arithmetic and Geometric Means and Their Applications to Inequalities

Autor:	Shigeru Furuichi, Nicuşor Minculete
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Shannon entropy Tsallis entropy Fermi–Dirac entropy Bose–Einstein entropy arithmetic mean geometric mean Mathematics QA1-939
Zdroj:	Symmetry, Vol 13, Iss 12, p 2398 (2021)
Druh dokumentu:	article
ISSN:	13122398 2073-8994
DOI:	10.3390/sym13122398
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/881be5cfac474b1094032f9799c01231 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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