On the Operator Jensen Inequality for Convex Functions

M. Shah Hosseini; H. R. Moradi; B. Moosavi

On the Operator Jensen Inequality for Convex Functions

Functional Analysis 2019-06-10 v2

Authors: M. Shah Hosseini , H. R. Moradi , B. Moosavi

Abstract

This paper is mainly devoted to studying operator Jensen inequality. More precisely, a new generalization of Jensen inequality and its reverse version for convex (not necessary operator convex) functions have been proved. Several special cases are discussed as well.

Keywords

convex analysis inequalities

Cite

@article{arxiv.1905.12870,
  title  = {On the Operator Jensen Inequality for Convex Functions},
  author = {M. Shah Hosseini and H. R. Moradi and B. Moosavi},
  journal= {arXiv preprint arXiv:1905.12870},
  year   = {2019}
}