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- W2036688718 abstract "Given three strict means M,N,K:R+2→R+, we say that the triple (M,N,K) satisfies the invariance equation ifKM(x,y),N(x,y)=K(x,y)(x,y∈R+)holds. It is well known that K is uniquely determined by M and N, and it is called the Gauss composition M⊗N of M and N. Our aim is to solve the invariance equation when each of the means M,N,K is either a Gini or a Stolarsky mean with possibly different parameters. This implies that we have to consider six different invariance equations. With the help of the computer algebra system Maple V Release 9, which enables us to perform the tedious computations, we completely describe the general solutions of these six equations." @default.
- W2036688718 created "2016-06-24" @default.
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- W2036688718 date "2013-02-01" @default.
- W2036688718 modified "2023-10-14" @default.
- W2036688718 title "Solving invariance equations involving homogeneous means with the help of computer" @default.
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- W2036688718 doi "https://doi.org/10.1016/j.amc.2012.11.032" @default.
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