On Some Intermediate Mean Values

Slavko Simic

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-7

Abstract:

We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class of mean values where are continuously differentiable convex functions satisfying the relation , . Then we asked for a characterization of such that the inequalities or hold for each positive , where are the harmonic, arithmetic, logarithmic, and identric means, respectively. For a subclass of with , this problem is thoroughly solved.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:283127

DOI: 10.1155/2013/283127

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