Approximating the Stieltjes integral of bounded functions and applications for three point quadrature rules
Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 523-536
Printed September 1, 2007
Sever Silvestru Dragomir
Victoria University
Abstract : Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given. Applications for three point quadrature rules of $n-$time differentiable functions are also provided.
Keywords : Stieltjes integral, functions of bounded variation, Lipschitzian functions, monotonic functions, quadrature rules
MSC numbers : Primary 26D15; Secondary 26A42, 41A55
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