Schur-convexity of the Extended Mean Values

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Qi, Feng (2001) Schur-convexity of the Extended Mean Values. RGMIA research report collection, 4 (4).


In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is deduced.

Item type Article
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Schur-convexity, extended mean values, arithmetic mean of function, logarithmic mean values, identity (exponential) mean values, inequality
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