Improved Jensen-type inequalities via linear interpolation and applications
Classical Analysis and ODEs
2016-10-06 v1
Abstract
In this paper we develop a general method for improving Jensen-type inequalities for convex and, even more generally, for piecewise convex functions. Our main result relies on the linear interpolation of a convex function. As a consequence, we obtain improvements of some recently established Young-type inequalities. Finally, our method is also applied to matrix case. In such a way we obtain improvements of some important matrix inequalities known from the literature.
Cite
@article{arxiv.1610.01567,
title = {Improved Jensen-type inequalities via linear interpolation and applications},
author = {Daeshik Choi and Mario Krnić and Josip Pecarić},
journal= {arXiv preprint arXiv:1610.01567},
year = {2016}
}
Comments
21 pages