A new order-preserving average function on a quotient space of strictly monotone functions and its applications

DOI10.1186/1029-242X-2014-450zbMath1333.39031OpenAlexW2114058519WikidataQ59396684 ScholiaQ59396684MaRDI QIDQ261732

Sin-Ei Takahasi, Yasuo Nakasuji

Publication date: 24 March 2016

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-450

zbMATH Keywords

Jensen's inequalityorder-preserving average functionstrictly monotone function

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• A new interpretation of Jensen's inequality and geometric properties of \(\phi\)-means
• On global bounds for generalized Jensen's inequality
• Generalized weighted quasi-arithmetic means and the Kolmogorov–Nagumo theorem

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