Solving invariance equations involving homogeneous means with the help of computer

DOI10.1016/j.amc.2012.11.032zbMath1280.26049OpenAlexW2036688718MaRDI QIDQ371556

Zsolt Páles, Szabolcs Baják

Publication date: 10 October 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.032

zbMATH Keywords

computer algebraStolarsky meanGini meanGauss compositioninvariance equation

Mathematics Subject Classification ID

Means (26E60)

Related Items (7)

On the quasi-arithmetic Gauss-type iteration ⋮ Invariance property for extended means ⋮ Computer assisted investigation of alienness of linear functional equations ⋮ Invariance of means ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ Characterization of the Hardy property of means and the best Hardy constants ⋮ Computer assisted solution of systems of two variable linear functional equations

Uses Software

• Maple

Cites Work

• Invariance equation for generalized quasi-arithmetic means
• Invariance in a class of Bajraktarević means
• Computer aided solution of the invariance equation for two-variable Gini means
• Computer aided solution of the invariance equation for two-variable Stolarsky means
• The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means
• Invariance of quasi-arithmetic means with function weights
• Invariant and complementary quasi-arithmetic means
• An invariance of the geometric mean with respect to Stolarsky mean-type mappings
• Invariance of the arithmetic mean with respect to special mean-type mappings
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Di una formula comprensiva delle medie
• On the intersection of two-parameter mean value families
• Generalizations of the Logarithmic Mean
• Extension Theorem for a Functional Equation
• Invariance in the class of weighted quasi-arithmetic means
• On means that are both quasi-arithmetic and conjugate arithmetic
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