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Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications

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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