Abstract
We give the sharp and refined bounds for the Tsallis relative operator entropy by using the improved Hermite–Hadamard inequality. As an application of our result, we give new bounds for the generalized relative operator entropy. We refine the bounds of the relative operator entropy announced by Fujii and Kamei and provide the precise and sharp bounds.
Citation
Ismail Nikoufar. Mehdi Kanani Arpatapeh. "Sharp bounds for the Tsallis relative operator entropy." Rocky Mountain J. Math. 52 (4) 1461 - 1471, August 2022. https://doi.org/10.1216/rmj.2022.52.1461
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