Title of article :
Refining Jensen’s Integral Inequality for Divisions of Measurable Space
Author/Authors :
Sever, Silvestru Dragomir Victoria University
Abstract :
In this paper we establish a refinement and some reverses for Jensen’s inequality for the general Lebesgue integral on divisions of measurable space. Applications for discrete inequalities and weighted
means of positive numbers are also given. Some examples related to
Hermite-Hadamard inequality for convex functions are provided as well.
Keywords :
Jensen’s inequality , convex functions , lebesgue integral , weighted means
Journal title :
Astroparticle Physics
