The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means |
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| Authors: | Zita Makó |
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| Institution: | a Department of Mathematics, Eszterházy Károly College, H-3300 Eger, Leányka u. 4, Hungary
b Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary |
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| Abstract: | The aim of this paper is to find those pairs of generalized quasi-arithmetic means on an open real interval I for which the arithmetic mean is invariant, i.e., to characterize those continuous strictly monotone functions φ,ψ:I→R and Borel probability measures μ,ν on the interval 0,1] such that |
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| Keywords: | Generalized quasi-arithmetic mean Gauss-composition Invariance equation Matkowski-Sutô equation |
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