Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications
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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).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/18010 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | bounded variation, absolute continuity, convexity, monotonicity, weighted means, analytic inequalities, f-divergence measures, information theory |
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