A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

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Dragomir, Sever S (2007) A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications. Research report collection, 10 (Supp).

Abstract

A new sharp bound of the Čebyšev functional for the Riemann- Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and mid-point rule are given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18009
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Čebyšev functional, Riemann-Stieltjes integral, trapezoid and mid-point rules, quadrature rules
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