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Invariance in Some Families of Means

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Gheorghe Toader

    (Technical University of Cluj-Napoca)

  • Iulia Costin

    (Technical University of Cluj-Napoca)

  • Silvia Toader

    (Technical University of Cluj-Napoca)

Abstract

A mean P is (M, N)-invariant if P(M, N) = P. In the same time the mean N is called complementary to M with respect to P. For the determination of complementaries, three methods have been used: the direct calculation, the methods of functional equations, and the series expansion of means. In the current paper we consider the method of series expansion of means to study the invariance in the family of extended logarithmic means.

Suggested Citation

  • Gheorghe Toader & Iulia Costin & Silvia Toader, 2011. "Invariance in Some Families of Means," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 709-717, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0055-4_44
    DOI: 10.1007/978-1-4614-0055-4_44
    as

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