Paper Title:

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

Author(s):

P. Cerone, Y.J. Cho, S.S. Dragomir, J.K. Kim, and S.S. Kim

School of Computer Science and Mathematics,
Victoria University of Technology,
Po Box 14428, Mcmc 8001, Victoria, Australia.
pietro.cerone@vu.edu.au
URL: http://rgmia.vu.edu.au/cerone/index.html

Department of Mathematics Education, College of Education,
Gyeongsang National University, Chinju 660-701, Korea
yjcho@nongae.gsnu.ac.kr

School of Computer Science and Mathematics,
Victoria University of Technology,
Po Box 14428, Mcmc 8001, Victoria, Australia.
sever.dragomir@vu.edu.au
URL: http://rgmia.vu.edu.au/SSDragomirWeb.html

Department of Mathematics, Kyungnam University,
Masan,, Kyungnam 631-701, Korea
jongkyuk@kyungnam.ac.kr

Department of Mathematics, Dongeui University,
Pusan 614-714, Korea
sskim@dongeui.ac.kr

Abstract:

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

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