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BOUNDS FOR THE DEVIATION OF A FUNCTION FROM THE CHORD GENERATED BY ITS EXTREMITIES
Published online by Cambridge University Press: 01 October 2008
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, and monotonicity, are given. Some applications for weighted means and f-divergence measures in information theory are also provided.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 2 , October 2008 , pp. 225 - 248
- Copyright
- Copyright © 2008 Australian Mathematical Society
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