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

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

Bibliographic Details
Main Author: S. S. Dragomir
Format: Article
Language:English
Published: SpringerOpen 2008-03-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/824610