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Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means. (English) Zbl 1190.26004

Summary: The necessary and sufficient conditions for Schur geometrical convexity of the four-parameter means are given. This gives a unified treatment for Schur geometrical convexity of Stolarsky and Gini means.

MSC:

26A51 Convexity of real functions in one variable, generalizations
26E60 Means

References:

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