Dragomir, Sever S (2007) Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications. Research report collection, 10 (Supp).

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Abstract

Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded variation, monotonicity etc., are given. Some applications for weighted means and f-divergence measures in Information Theory are also provided.

Item Type:	Article
Uncontrolled Keywords:	bounded variation, absolute continuity, convexity, monotonicity, weighted means, analytic inequalities, f-divergence measures, information theory
Subjects:	FOR Classification > 0101 Pure Mathematics Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User:	Research Group in Mathematical Inequalities and Applications
Date Deposited:	10 Feb 2012 04:35
Last Modified:	23 May 2013 16:53
URI:	http://vuir.vu.edu.au/id/eprint/18010
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