Generalized weighted quasi-arithmetic means |
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| Authors: | Janusz Matkowski |
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| Affiliation: | 1.Faculty of Mathematics, Informatics and Econometrics,University of Zielona Góra,Zielona Góra,Poland;2.Institute of Mathematics,Silesian University,Katowice,Poland |
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| Abstract: | Under some natural assumptions on real functions f and g defined on a real interval I, we show that a two variable function M f,g : I 2 → I defined by | Mf,g(x,y)=(f+g)-1(f(x)+g(y))M_{f,g}(x,y)=(f+g)^{-1}(f(x)+g(y)) |
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