Bounds for the reduced relative entropies

Shigeru Furuichi; Frank Hansen

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arXiv · 2312.03778

Bounds for the reduced relative entropies

Shigeru Furuichi·Frank Hansen

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Abstract

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 particular, the convexity of the reduced Tsallis relative entropy is obtained. Finally, an upper bound of the reduced Tsallis relative entropy is given.

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Shigeru Furuichi, Frank Hansen. 2023-12-06. Bounds for the reduced relative entropies. https://arxiv.org/abs/2312.03778

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