English

Choi-Davis-Jensen's inequality without convexity

Functional Analysis 2018-01-31 v3

Abstract

We give the Choi-Davis-Jensen type inequality without using convexity. Applying our main results, we also give new inequalities improving previous known results. In particular, we show some inequalities for relative operator entropies and quantum mechanical entropies.

Keywords

Cite

@article{arxiv.1705.09784,
  title  = {Choi-Davis-Jensen's inequality without convexity},
  author = {Jadranka Mićić and Hamid Reza Moradi and Shigeru Furuichi},
  journal= {arXiv preprint arXiv:1705.09784},
  year   = {2018}
}

Comments

Corollary 3.2 was modified. Several typo's were also modified

R2 v1 2026-06-22T20:00:52.495Z