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Norm Estimates for the Difference Between Bochner’s Integral and the Convex Combination of Function’s Values

Cerone, Pietro and Cho, Yeol Je and Dragomir, Sever S and Kim, Jong Kyu and Kim, Seong Sik (2003) Norm Estimates for the Difference Between Bochner’s Integral and the Convex Combination of Function’s Values. RGMIA research report collection, 6 (Supp).

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Abstract

Norm estimates between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function’s values taken on a division of the interval [a, b] , are given.

Item Type: Article
Uncontrolled Keywords: Bochner’s integral, Ostrowski 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: 16 Aug 2012 10:53
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/18129
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