Refining Jensen's Integral Inequality for Partition of Weights
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.
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
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PDFDOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1350