Interpolating operator Jensen-type inequalities for log-convex and superquadratic functions
Functional Analysis
2018-05-11 v1
Abstract
Motivated by some recently established operator Jensen-type inequalities related to a usual convexity, in the present paper we derive several more accurate operator Jensen-type inequalities for certain subclasses of convex functions. More precisely, we obtain interpolating series of Jensen-type inequalities for log-convex and non-negative superquadratic functions. In particular, we obtain the corresponding refinements of the Jensen-Mercer operator inequality for such classes of functions.
Cite
@article{arxiv.1805.03940,
title = {Interpolating operator Jensen-type inequalities for log-convex and superquadratic functions},
author = {Mojtaba Bakherad and Mohsen Kian and Mario Krnic and Seyyed Alireza Ahmadi},
journal= {arXiv preprint arXiv:1805.03940},
year = {2018}
}
Comments
to appear in Filomat journal