On the Composition of Homogeneous Quasi-
β
Peter Kahlig; Janusz Matkowski
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Article
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1997
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Elsevier Science
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English
β 206 KB
Let , , β₯ , 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 β€ β€ such that M M x, y , M x, y sM x, y , x, y)0.