English

Operator convex functions and their applications

Functional Analysis 2020-04-07 v1

Abstract

In this paper, we introduce operator geodesically convex and operator convex-log functions and characterize some properties of them. Then apply these classes of functions to present several operator Azc\'{e}l and Minkowski type inequalities extending some known results. The concavity counterparts are also considered.

Keywords

Cite

@article{arxiv.2004.01918,
  title  = {Operator convex functions and their applications},
  author = {V. Kaleibary and M. R. Jabbarzadeh and S. Furuichi},
  journal= {arXiv preprint arXiv:2004.01918},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T14:39:13.582Z