Entropic means

DOI10.1016/0022-247X(89)90128-5zbMath0675.26007MaRDI QIDQ1122014

Aharon Ben-Tal, Marc Teboulle, A. Charnes

Publication date: 1989

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

zbMATH Keywords

geometric meanasymptotic propertypower meansGini meansLehmer meansquasilinear meansentropic meanIntegral meansquasi-arithmetic integral meanStolarski meanstrictly convex differentiable function

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

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• Homogeneous mean values: weights and asymptotics
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• Di una formula comprensiva delle medie
• The Logarithmic Mean in n Variables
• Averages on the Move
• The Power and Generalized Logarithmic Means
• Generalizations of the Logarithmic Mean
• A Cubic Counterpart of Jacobi's Identity and the AGM
• The Logarithmic Mean