A new interpretation of Jensen's inequality and geometric properties of \(\phi\)-means

DOI10.1186/1029-242X-2011-48zbMath1275.26054OpenAlexW2111514724WikidataQ59269015 ScholiaQ59269015MaRDI QIDQ357392

Sin-Ei Takahasi, Keisaku Kumahara, Yasuo Nakasuji

Publication date: 30 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-48

zbMATH Keywords

concavityconvexityJensen's inequalitymeanrefinement

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

The inequalities for quasiarithmetic means ⋮ A new order-preserving average function on a quotient space of strictly monotone functions and its applications

Cites Work

• A refinement of various mean inequalities
• The best possibility of the bound for the Kantorovich inequality and some remarks
• The Kantorovich Inequality

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