Some closer estimations for Tsallis relative operator entropy

Abstract

In this paper, we find some new and refined bounds for the Tsallis relative operator entropy. We give the lower and upper bounds for the Tsallis relative operator entropy such that the lower bound is an ascending sequence that ascends to the Tsallis relative operator entropy and the upper bound is a descending sequence that descends to the Tsallis relative operator entropy. Moreover, we present some new and refined bounds for the relative operator entropy and the generalized relative operator entropy.