Volume no :12, Issue no: 1, August (2014)

Journal of Pure and Applied Mathematics: Advances and Applications

DISCRETE AND INTEGRAL VARIANTS OF THE JENSEN TYPE INEQUALITIES

Author's: Zlatko Pavić and Vedran Novoselac
Pages: [25] - [38]
Received Date: July 17, 2014
Submitted by:

Abstract

We consider inequalities concerning convex functions and convex combinations with the common center. Including convex combinations to the integral method, the obtained discrete inequalities are transformed to integral inequalities. The results are applied to quasi-arithmetic means and the Hermite-Hadamard inequality.

Keywords

convex function, convex combination, barycenter, quasi-arithmetic mean.