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Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 824610, 11 pages
doi:10.1155/2008/824610

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

Recommended by Yeol Cho

Abstract

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.