Research Repository

Interpolations of Jensen's Integral Inequality

Dragomir, Sever S, Pearce, Charles and Pecaric, Josep (2001) Interpolations of Jensen's Integral Inequality. RGMIA research report collection, 4 (1).

[img] Text
j7.pdf

Download (170kB)

Abstract

Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

Item Type: Article
Uncontrolled Keywords: convexity, Jensen’s inequality, Hadamard’s inequality
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: 19 Jul 2012 02:39
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17366
ePrint Statistics: View download statistics for this item

Repository staff only

View Item View Item

Search Google Scholar