Refining Jensen's Integral Inequality for Partition of Weights

Silvestru Sever Dragomir

Abstract


In this paper we establish a refinement and some reverses for
JensenÂ’s inequality for the general Lebesgue integral on measurable spaces
and partitions of weights. Applications for discrete inequalities and weighted
means of positive numbers are also given.

Keywords


Jensen's inequality, Convex functions

Full Text:

PDF


DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1350