Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications
1 Department of Mathematics and Statistics, La Trobe University, Melbourne, VIC, 3086, Australia
2 Mathematics, College of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne, MC, 8001, Australia
3 School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg, Wits, 2050, South Africa
Journal of Inequalities and Applications 2013, 2013:53 doi:10.1186/1029-242X-2013-53Published: 18 February 2013
Sharp error bounds in approximating the Riemann-Stieltjes integral with the generalised trapezoid formula are given for various pairs of functions. Applications for weighted integrals are also provided.
MSC: 26D15, 26D10, 41A55.