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Bounds for the Deviation of a Function from a Generalised Chord Generated by its Extremities with Applications

Dragomir, Sever S (2007) Bounds for the Deviation of a Function from a Generalised Chord Generated by its Extremities with Applications. Research report collection, 10 (4).

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Abstract

Bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the generalised chord (v (b) − v (t))/(v (b) − v (a))· f (a) + (v (t) − v (a)/(v (b) − v (a))· f (b) , where v : [a, b] → R and v (a) ≠ v (b) , that connects its end points (a, f (a)) and (b, f (b)) are given. Applications for normalised positive linear functionals are provided as well.

Item Type: Article
Uncontrolled Keywords: bounded variation, Stieltjes integral, monotonicity, normalised positive functionals
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 04:26
Last Modified: 23 May 2013 16:55
URI: http://vuir.vu.edu.au/id/eprint/18375
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