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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/18129
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 Bochner’s integral, Ostrowski inequality, quadrature formulae
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