Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 824610, 11 pages
A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
School of Computer Science and Mathematics, Victoria University, P.O. Box 14428, Melbourne, Victoria 8001, Australia
Received 13 December 2007; Accepted 29 February 2008
Academic Editor: Yeol Cho
Copyright © 2008 S. S. Dragomir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.