Sofo, Anthony (2000) Integral Inequalities for n-times Differentiable Mappings, with Multiple Branches, on the Lp Norm. RGMIA research report collection, 2 (4).

Text IInTDMMBLpN.pdf Restricted to Repository staff only Download (352kB)

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 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
ePrint Statistics:	View download statistics for this item

Repository staff only

	View Item

Search Google Scholar