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

Cerone, Pietro, Cho, Yeol Je, Dragomir, Sever S, 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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