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

DOI10.1016/j.amc.2010.04.046zbMath1194.65078arXiv1211.6100OpenAlexW2099680856MaRDI QIDQ984372

Szabolcs Baják, Zsolt Páles

Publication date: 19 July 2010

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

Full work available at URL: https://arxiv.org/abs/1211.6100

zbMATH Keywords

computer algebraStolarsky meanGauss compositioninvariance equationcomputer aided solution

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical mathematical programming methods (65K05) Minimax problems in mathematical programming (90C47) Means (26E60)

Related Items (13)

On the quasi-arithmetic Gauss-type iteration ⋮ On the invariance of the arithmetic mean with respect to generalized Bajraktarević 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 ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević 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

Uses Software

• Maple

Cites Work

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• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Di una formula comprensiva delle medie
• 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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