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On linear combinations of weighted quasi-arithmetic means

✍ Scribed by Zoltán Daróczy; Gabriella Hajdu

Publisher
Springer
Year
2005
Tongue
English
Weight
173 KB
Volume
69
Category
Article
ISSN
0001-9054

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📜 SIMILAR VOLUMES

On the Composition of Homogeneous Quasi-
On the Composition of Homogeneous Quasi-Arithmetic Means
✍ Peter Kahlig; Janusz Matkowski 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 206 KB

Let , , ␥ , ␤ : 0, ϱ ª R, strictly monotonic and continuous functions, be the generators of the positively homogeneous quasi-arithmetic means M , M , M , ␥ and M . The main result gives full characterizations of the functions , , ␥ , and ␤ ␤ such that M M x, y , M x, y sM x, y , x, y)0.