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Integral Inequalities for n-Times Differentiable Mappings, with Multiple Branches, on the Lp Norm

Sofo, Anthony (2001) Integral Inequalities for n-Times Differentiable Mappings, with Multiple Branches, on the Lp Norm. RGMIA research report collection, 4 (4).

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Abstract

Integral inequalities of Ostrowski type are developed for n-times differentiable mappings, with multiple branches, on the Lp (1 < p < ∞) norm. Some particular inequalities are also investigated, which include explicit bounds for perturbed trapezoid, midpoint, Simpson’s, Newton-Cotes and left and right rectangle rules. The results obtained provide sharper bounds than those obtained by Dragomir [6] and Cerone, Dragomir and Roumeliotis [3].

Item Type: Article
Uncontrolled Keywords: Ostrowski intergal inequality, quadrature formulae
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 27 Sep 2012 03:37
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17657
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