3 papers
math-ph2026
-deformed --Rényi relative entropy
Srikrishna Maity, Shigeru Furuichi, Supriyo Dutta
In this article, we consider the -logarithm for defining three-parameter family of Rényi relative entropies that are generalization of the --Rényi relative entropies. A…
quant-ph2025
Bounds for the reduced relative entropies
Shigeru Furuichi, Frank Hansen
A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In partic…
math-ph2024
A two-parameter entropy and its fundamental properties
Supriyo Dutta, Shigeru Furuichi, Partha Guha
This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy for specific values of its parameters. We develop a numbe…