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arXiv · 1610.01567

Improved Jensen-type inequalities via linear interpolation and applications

Daeshik Choi·Mario Krnić·Josip Pecarić
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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.

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Daeshik Choi, Mario Krnić, Josip Pecarić. 2016-10-05. Improved Jensen-type inequalities via linear interpolation and applications. https://arxiv.org/abs/1610.01567

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