Bounds for the Deviation of a Function from a Generalised Chord Generated by its Extremities with Applications
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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).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/18375 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | bounded variation, Stieltjes integral, monotonicity, normalised positive functionals |
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