Reverses of the Jensen-Type Inequalities for Signed Measures

In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen's inequality and its reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity...

Full description

Bibliographic Details
Main Authors: Rozarija Jakšić, Josip Pečarić, Mirna Rodić Lipanović
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/626359