Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 824610, 11 pages
Research Article

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

S. S. Dragomir

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.