Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626523 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
In this paper, we provide inequalities of Jensen-Ostrowski type, by providing bounds for the magnitude of
â«Î©(fâg)dμâf(ζ)ââ«Î©(gâζ)fâ²âgdμ+12λâ«Î©(gâζ)2dμ,for various assumptions on the absolutely continuous function f:[a,b]âC, ζ â [a, b], λâC, and a μ-measurable function g on Ω. Special cases are considered to provide some inequalities of Jensen type, as well as Ostrowski type, in measure-theoretic (probabilistic) form. Applications for f-divergence measure in information theory are also considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Pietro Cerone, Sever S. Dragomir, Eder Kikianty,