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Invariance in the Family of Weighted Gini Means

In: Handbook of Functional Equations

Author

Listed:
  • Iulia Costin

    (Technical University Cluj-Napoca)

  • Gheorghe Toader

    (Technical University Cluj-Napoca)

Abstract

Given two means M and N, the mean P is called $(M,N)$ -invariant if $P(M,$ $N)=P.$ At the same time the mean N is called complementary to M with respect to P. We use the method of series expansion of means to determine the complementary with respect to a weighted Gini mean. The invariance in the family of weighted Gini means is also studied. The computer algebra Maple was used for solving some complicated systems of equations.

Suggested Citation

  • Iulia Costin & Gheorghe Toader, 2014. "Invariance in the Family of Weighted Gini Means," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Handbook of Functional Equations, edition 127, pages 105-127, Springer.
    • Handle: RePEc:spr:spochp:978-1-4939-1246-9_6
    DOI: 10.1007/978-1-4939-1246-9_6
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