Bounding the Cebysev functional for the Riemann-Stieltjes integral via a Beesack inequality and applications

Abstract

Lower and upper bounds of the μ Cebyšev functional for the RiemannStieltjes integral are given. Applications for the three point quadrature rules of functions that are n time di¤erentiable are also provided. 1. Introduction In 1975, P.R. Beesack [1] showed that, if y; v; w are real valued functions de…ned on a compact interval [a; b] ; where w is of bounded… (More)
DOI: 10.1016/j.camwa.2009.07.029

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