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).
Abstract
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17762 |
| 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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