ABSTRACT
In this paper, we define the generalised relative operator entropy and investigate some of its properties such as subadditivity and homogeneity. As application of our result, we obtain the information inequality. In continuation, we establish some reverses of the operator entropy inequalities under certain conditions by using the Mond–Pečarić method.
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Acknowledgements
The authors would like to sincerely thank the anonymous referee for several useful comments improving the paper.
Notes
No potential conflict of interest was reported by the authors.