Operator inequalities associated with the Kantrovich type inequalities for $s$-convex functions

Ismail Nikoufar; Davuod Saeedi

Operator inequalities associated with the Kantrovich type inequalities for $s$-convex functions

Functional Analysis 2022-10-11 v4

Authors: Ismail Nikoufar , Davuod Saeedi

Abstract

In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for $s$ -convex function. We also give an application to the order preserving power inequality of three variables and find a better lower bound for the numerical radius of a positive operator under some conditions.

Keywords

operator inequalities Kantorovich type inequality s-convex functions order preserving power inequality numerical radius positive operator

Cite

@article{arxiv.2111.12837,
  title  = {Operator inequalities associated with the Kantrovich type inequalities for $s$-convex functions},
  author = {Ismail Nikoufar and Davuod Saeedi},
  journal= {arXiv preprint arXiv:2111.12837},
  year   = {2022}
}

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