Abstract
AbstractSharp 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.
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. Inequalities for Stieltjes integrals with convex integrators and applications
2. Information-type measures of differences of probability distributions and indirect observations;Csiszár;Studia Sci. Math. Hungar.,1967
3. A comparative assessment of various measures of directed divergence;Kapur;Adv. Management Studies,1984
4. On an identity for the Chebychev functional and some ramifications;Cerone;J. Ineq. Pure Appl. Math,2002
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献