An invariance of geometric mean with respect to Lagrangian means
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Publication:878487
DOI10.1016/j.jmaa.2006.09.005zbMath1119.26029OpenAlexW1992265332MaRDI QIDQ878487
Dorota Głazowska, Janusz Matkowski
Publication date: 26 April 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.005
Related Items (15)
Convergence of iterates of pre-mean-type mappings ⋮ Some Cauchy mean-type mappings for which the geometric mean is invariant ⋮ Invariant translative mappings and a functional equation ⋮ On some invariance of the quotient mean with respect to Makó-Páles means ⋮ Aggregation functions: means ⋮ Invariance of the Cauchy means with respect to Lagrange mean-type mappings of the same generators ⋮ An invariance of geometric mean with respect to generalized quasi-arithmetic means ⋮ A solution of an open problem concerning Lagrangian mean-type mappings ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ A generalization on weighted means and convex functions with respect to the non-Newtonian calculus ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ Mean-value theorems and some symmetric means ⋮ Invariance of means ⋮ Invariance in the Family of Weighted Gini Means
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