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On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation

✍ Scribed by P. Cerone; W.S. Cheung; S.S. Dragomir

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 222 KB
Volume: 54
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.12.023

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✦ Synopsis

Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when | f | is convex is explored. Applications for the mid-point rule and a generalised trapezoid type rule are also presented.

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