On weighted extensions of Cauchy's means

DOI10.1016/j.jmaa.2006.01.040zbMath1119.39019OpenAlexW2050177177MaRDI QIDQ2488807

Janusz Matkowski

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.040

zbMATH Keywords

Stolarsky meanCauchy meanFunctional equationLagrangean meanWeighted extension of Cauchy meanWeighted power meanWeighted quasi-arithmetic mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Means (26E60)

Related Items (9)

On the commutation of generalized means on probability spaces ⋮ On a method of construction of new means with applications ⋮ On homogeneous Lagrange means ⋮ Quasi-arithmetic means ad libitum ⋮ Fixed points of functions with max-weighted quasi-arithmetic mean operator ⋮ Sharp inequalities for trigonometric functions ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ Mean-value theorems and some symmetric means ⋮ A mean-value theorem and its applications

Cites Work

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• Problems in the regularity theory of functional equations
• Equality of two variable Cauchy mean values
• Generalizations of the Logarithmic Mean
• Extended Mean Values

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