Invariance in the Family of Weighted Gini Means

DOI10.1007/978-1-4939-1246-9_6zbMath1315.26037OpenAlexW206532275MaRDI QIDQ5251549

Gheorghe Toader, Iulia Costin

Publication date: 20 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1246-9_6

zbMATH Keywords

complementary meaninvariance in a class of meansweighted Gini mean

Mathematics Subject Classification ID

Means (26E60)

Related Items (1)

Invariance of means

Uses Software

• Maple

Cites Work

• Invariance equation for generalized quasi-arithmetic means
• An invariance of geometric mean with respect to Lagrangian means
• Computer aided solution of the invariance equation for two-variable Gini means
• The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means
• Series expansions of means
• Some reproducing identities for families of mean values
• Invariant and complementary quasi-arithmetic means
• The Matkowski-Sutô problem for weighted quasi-arithmetic means
• Invariance of the arithmetic mean with respect to special mean-type mappings
• On the compounding of certain means
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Coefficient Identities for Powers of Taylor and Dirichlet Series
• Invariance in the class of weighted quasi-arithmetic means
• Functional equations involving means and their Gauss composition
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