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

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

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
URI https://vuir.vu.edu.au/id/eprint/17657
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski intergal inequality, quadrature formulae
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