Some mean values related to the quasi-arithmetic mean

DOI10.1006/jmaa.2000.6963zbMath0970.26020OpenAlexW2080196290MaRDI QIDQ1840792

Young-Ho Kim, Ume, Jeong Sheok

Publication date: 2 October 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6963

zbMATH Keywords

weighted power meanarithmetic-geometric meanharmonic meanquasi-arithmetic mean

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (3)

The orness measures for two compound quasi-arithmetic mean aggregation operators ⋮ Generalization of the harmonic weighted mean via Pythagorean invariance identity and application ⋮ Parameterized defuzzification with continuous weighted quasi-arithmetic means -- an extension

Cites Work

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• New properties of some mean values
• On some further extensions of the characterizations of mean values by H. Haruki and Th. M. Rassias
• Inequalities for means
• On the composition of homogeneous quasi-arithmetic means
• Some mean values related to the arithmetic-geometric mean
• A new analogue of Gauss' functional equation
• New characterizations of some mean-values
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• A Gauss type functional equation

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