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Integral Inequalities for n-times Differentiable Mappings, with Multiple Branches, on the Lp Norm
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Sofo, Anthony (2000) Integral Inequalities for n-times Differentiable Mappings, with Multiple Branches, on the Lp Norm. RGMIA research report collection, 2 (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 |
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Uncontrolled Keywords: | Ostrowski integral 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 03:53 |
Last Modified: | 24 May 2013 04:12 |
URI: | http://vuir.vu.edu.au/id/eprint/17216 |
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