Functional equations involving means and Gauss compositions of means

DOI10.1016/j.na.2005.01.033zbMath1159.39306OpenAlexW2091089807MaRDI QIDQ999536

Zoltán Daróczy

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.033

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Iteration theory, iterative and composite equations (39B12)

Related Items

On the quasi-arithmetic Gauss-type iteration, Invariance property for extended means, Quasi-arithmetic-type invariant means on probability space

Cites Work

• Local monotonicity properties of two-variable Gini means and the comparison theorem revisited
• Inequalities for differences of powers
• Equality of two variable Cauchy mean values
• Equality of two variable weighted means: Reduction to differential equations
• On two-variable means with variable weights
• Di una formula comprensiva delle medie
• The Power and Generalized Logarithmic Means
• Generalizations of the Logarithmic Mean
• Functional equations involving means and their Gauss composition
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