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Differences between means with bounds from a Riemann-Stieltjes integral

Cerone, Pietro and Dragomir, Sever S (2003) Differences between means with bounds from a Riemann-Stieltjes integral. Computers & Mathematics with Applications, 46 (2-3). pp. 445-453. ISSN 0898-1221

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Abstract

An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltjes integral. This enables bounds to be procured when the integrand is of bounded variation, Lipschitzian and monotonic. If f is absolutely continuous, bounds are also obtained for f Lp[a, b], 1 ≤ p < ∞, the usual Lebesgue norms. This supplements earlier results involving f′ L∞ [a, b].

Item Type: Article
Uncontrolled Keywords: Ostrowski's inequality, Riemann-Stieltjes integral
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
RFCD Classification > 280000 Information, Computing and Communication Sciences
Depositing User: Ms Phung T Tran
Date Deposited: 26 Jan 2009 17:51
Last Modified: 15 Oct 2010 23:18
URI: http://vuir.vu.edu.au/id/eprint/1715
DOI: 10.1016/S0898-1221(03)90037-X
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Citations in Scopus: 3 - View on Scopus

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