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Zbl 1157.26324
Toader, Silvia; Toader, Gheorghe
Complementaries of Greek means with respect to Gini means. (English)
[J] Int. J. Appl. Math. Stat. 11, No. N07, 187-192 (2007). ISSN 0973-1377; ISSN 0973-7545/e

Summary: A mean $P$ is called invariant with respect to a pair of means $(M,N)$ if it is a solution of the generalized Gauss' functional equation $$f(M(a,b),N(a,b))= f(a,b), \quad a,b>0.$$ Equivalently $N$ is called complementary of $M$ with respect to $P$. Determining the complementary of a mean with respect to another mean gives the possibility of definition of a double sequence with known limit. We study the complementary of Greek means with respect to weighted Gini means in the family of Greek means.

MSC 2000:: *26E60 Means

Keywords: Greek means; complementary means; Gini means

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Zentralblatt MATH Berlin [Germany]