Abstract
We introduce the notion of operator -convex functions and prove Jensen–Hansen–Pedersen-type inequalities and a Hermite–Hadamard-type inequality for this class, which generalize a certain classes of known inequalities. We give equivalent conditions for a function to be operator -convex. We also obtain a Choi–Davis–Jensen-type inequality for operator -convex functions.
Citation
Sima Hashemi Marghzar. Omid Pourbahri Rahpeyma. Davood Ebrahimi Bagha. "Some inequalities for operator -convex functions." Rocky Mountain J. Math. 51 (6) 2019 - 2029, December 2021. https://doi.org/10.1216/rmj.2021.51.2019
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