engleski

Estimating an Enlargement of one reversed Jensen's Inequality

In [1] authors gave an extension of Diaz- Metcalf ’s inequality for concave functions. Authors in [3] have obtained its restatement in the shape of an reversed Jensen’s inequality for a concave function of two variables. In [2], the sequence of inequalities which includes McShane’s generalization of Jensen’s inequality for normalized isotonic positive linear functional and convex (concave) function defined on a rectangle is provided. As natural enralgement, we have considered the concave function of three bounded variables defined on a parallelepiped and estimate the reverse McShane type inequality fornormalized isotonic positive linear functional.

Jensen inequality; Diaz-Metcalf inequality; McShane's generalization

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