English

On Reversing Operator Choi-Davis-Jensen inequality

Functional Analysis 2021-04-07 v1

Abstract

In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard inequality. Next, we study the reverse of the celebrated Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.

Keywords

Cite

@article{arxiv.2104.02350,
  title  = {On Reversing Operator Choi-Davis-Jensen inequality},
  author = {Seyyed Saeid Hashemi Karouei and Mohammad Sadegh Asgari and Mohsen Shah Hosseini},
  journal= {arXiv preprint arXiv:2104.02350},
  year   = {2021}
}

Comments

11 pages

R2 v1 2026-06-24T00:52:43.766Z