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http://dx.doi.org/10.4134/BKMS.2007.44.3.523

APPROXIMATING THE STIELTJES INTEGRAL OF BOUNDED FUNCTIONS AND APPLICATIONS FOR THREE POINT QUADRATURE RULES  

Dragomir, Sever Silvestru (SCHOOL OF COMPUTER SCIENCE AND MATHEMATICS VICTORIA UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 523-536 More about this Journal
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 rule;
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