Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional

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Shi, Huan-Nan and Zhang, Jian (2009) Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional. Research report collection, 12 (3).


The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed. Two refinements of the Čebyšev inequality are obtained.

Item type Article
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Čebyšev functional, Schur-convexity, Schur-geometric concavity, Čebyšev integral inequality
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