Schur-Convexity of a Mean of Convex Function

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Shi, Huan-Nan, Gu, Chun and Li, Da-Mao (2006) Schur-Convexity of a Mean of Convex Function. Research report collection, 9 (4).


The Schur-convexity on the upper and the lower limit of the integral for a mean of the convex function is researched. As applications, a generalized logarithmic mean with a parameter is obtained and a relevant double inequality that is a extension of the known inequality is established.

Item type Article
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Schur-convex function, inequality, Hadamard's inequality, generalized logarithmic mean
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