In this paper, we determine the bounds of the generalized relative operator entropy in
general. In particular, we identify the bounds of the parametric extension of the Shannon …

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 …

Inequalities for the Generalized Tsallis Relative Operator Entropy Page 1 Filomat 34:8 (2020),
2713–2721 https://doi.org/10.2298/FIL2008713N Published by Faculty of Sciences and …

In this paper, we obtain the lower and upper bounds for the generalized Tsallis relative
operator entropy which will recover some known results. Moreover, we verify the information …

Abstract Let A={A 1,..., A n} and B={B 1,..., B n} be two finite sequences of strictly positive
operators on a Hilbert space H and f, h: I→ R continuous functions with h> 0.. We consider …

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 …

The relative operator entropy has properties like operator means. In addition, the relative
operator entropy has entropy-like properties. In this paper, we prove a Loewner–Heinz type …

In this paper, we investigate a notion of the generalized relative operator entropy, which
develops the theory of the relative operator entropy introduced by Fujii and Kamei, and a …

In this paper, we determine some new bounds for the generalized Tsallis relative operator
entropy by providing some close and sharp bounds. In particular, we identify some bounds …

In this paper, we investigate a notion of the relative operator entropy develo** the theory
started by Fujii and Kamei. We consider generalized operator Shannon entropy and give its …