Equality of two variable weighted means: Reduction to differential equations

DOI10.1007/s000100050110zbMath0939.39015OpenAlexW2040140375MaRDI QIDQ1818256

László Losonczi

Publication date: 2 July 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050110

zbMATH Keywords

functional equationweighted meansquasiarithmetic meansfamilies of solutionsreduction to differential equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (20)

Generalized Cauchy means ⋮ Equality and homogeneity of generalized integral means ⋮ Limit theorems for deviation means of independent and identically distributed random variables ⋮ Equality of two-variable functional means generated by different measures ⋮ On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ Comparison of means generated by two functions and a measure ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ Weighted aggregation operators based on minimization ⋮ The equality problem in the class of conjugate means ⋮ On the equality problem of conjugate means ⋮ Invariance of means ⋮ Functional equations involving means and Gauss compositions of means ⋮ On the equality of Bajraktarević means to quasi-arithmetic means ⋮ On the equality of two-variable general functional means ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means ⋮ Unnamed Item ⋮ Lever aggregation operators ⋮ An extension theorem for conditionally additive functions and its application for the equality problem of quasi-arithmetic expressions ⋮ On the equality problem of generalized Bajraktarević means

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