A note on inequalities for Tsallis relative operator entropy

In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator en- tropy, Math. Inequal. Appl. 18 (2015), no. 2, 401-406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative operator entropy.