Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications

Cerone, Pietro and Dragomir, Sever S (2008) Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications. Research report collection, 11 (2).

Abstract

Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17612
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Riemann-Stieltjes integral, Čebyšev functional, integral inequalities, quadrature rules
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