Lower and Upper Bounds of the Čebyšev Functional for the Riemann-Stieltjes Integral

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Dragomir, Sever S and Sofo, Anthony (2009) Lower and Upper Bounds of the Čebyšev Functional for the Riemann-Stieltjes Integral. Research report collection, 12 (1).

Abstract

Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral, in the monotonicity case of one function, are given. Applications in relation with the Steffensen generalisation of the Čebyšev inequality are provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17666
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Riemann-Stieltjes integral, Čebyšev inequality, Steffensen inequality, integral inequalities
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