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On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom

โœ Scribed by J.-L. Marichal

Publisher
Springer
Year
2000
Tongue
English
Weight
327 KB
Volume
59
Category
Article
ISSN
0001-9054

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On the Composition of Homogeneous Quasi-
On the Composition of Homogeneous Quasi-Arithmetic Means
โœ Peter Kahlig; Janusz Matkowski ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

Let , , โฅ , โค : 0, ฯฑ ยช R, strictly monotonic and continuous functions, be the generators of the positively homogeneous quasi-arithmetic means M , M , M , โฅ and M . The main result gives full characterizations of the functions , , โฅ , and โค โค such that M M x, y , M x, y sM x, y , x, y)0.