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On the Composition of Homogeneous Quasi-Arithmetic Means

✍ Scribed by Peter Kahlig; Janusz Matkowski

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
206 KB
Volume
216
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let , , β₯ , ␀ : 0, Ο± Βͺ R, strictly monotonic and continuous functions, be the generators of the positively homogeneous quasi-arithmetic means M , M , M , β₯ and M . The main result gives full characterizations of the functions , , β₯ , and ␀ ␀ such that M M x, y , M x, y sM x, y , x, y)0.

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