On Reversing Operator Choi-Davis-Jensen inequality
Seyyed Saeid Hashemi Karouei, Mohammad Sadegh Asgari, Mohsen Shah, Hosseini
TL;DR
This paper improves bounds related to the Hermite-Hadamard inequality and explores the reverse of the Davis-Choi-Jensen inequality, leading to a new operator Kantorovich inequality bound.
Contribution
It provides a better estimate for the Hermite-Hadamard inequality and introduces a reverse form of the Davis-Choi-Jensen inequality with applications to operator inequalities.
Findings
Enhanced estimate for Hermite-Hadamard inequality
New bounds for the reverse Davis-Choi-Jensen inequality
A novel operator Kantorovich inequality bound
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.
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