Computer aided solution of the invariance equation for two-variable Gini means

DOI10.1016/j.camwa.2009.03.107zbMath1198.26032arXiv1211.5711OpenAlexW1983873289MaRDI QIDQ980074

Zsolt Páles, Szabolcs Baják

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5711

zbMATH Keywords

computer algebraGauss compositioninvariance equationGini means

Mathematics Subject Classification ID

Means (26E60)

Related Items (16)

On the quasi-arithmetic Gauss-type iteration ⋮ On the invariance of the arithmetic mean with respect to generalized Bajraktarević means ⋮ Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ Solving invariance equations involving homogeneous means with the help of computer ⋮ Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means ⋮ On symbolic computation of C.P. Okeke functional equations using Python programming language ⋮ Invariance property for extended means ⋮ Computer assisted investigation of alienness of linear functional equations ⋮ Corrado Gini: the man and the scientist ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ Computer aided solution of the invariance equation for two-variable Stolarsky means ⋮ 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 ⋮ Invariance in the Family of Weighted Gini Means

Uses Software

• Maple

Cites Work

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• Invariance equation for generalized quasi-arithmetic means
• Inequalities for sums of powers
• 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
• A Cubic Counterpart of Jacobi's Identity and the AGM
• 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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