A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

Details A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications

2003-04-22

arxiv.org/abs/math/0304345v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we point out a converse result of the celebrated Jensen
inequality for differentiable convex mappings of several variables and apply it
to counterpart well-known analytic inequalities. Applications to Shannon's and
Renyi's entropy mappings are also given.

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