Invariance in Some Families of Means

Gheorghe Toader (), Iulia Costin () and Silvia Toader ()
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Gheorghe Toader: Technical University of Cluj-Napoca
Iulia Costin: Technical University of Cluj-Napoca
Silvia Toader: Technical University of Cluj-Napoca

Chapter Chapter 44 in Functional Equations in Mathematical Analysis, 2011, pp 709-717 from Springer

Abstract: 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.

Keywords: Extended logarithmic mean; Complementary mean; Invariance in a class of means (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4614-0055-4_44

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