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On a family of quasi-arithmetic means

✍ Scribed by G. Mayor

Publisher
Springer
Year
1994
Tongue
English
Weight
47 KB
Volume
47
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

On the Composition of Homogeneous Quasi-
On the Composition of Homogeneous Quasi-Arithmetic Means
✍ Peter Kahlig; Janusz Matkowski πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 206 KB

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.