Wigner--Yanase--Dyson function and logarithmic mean
General Mathematics
2024-01-23 v2
Abstract
The ordering between Wigner--Yanase--Dyson function and logarithmic mean is known. Also bounds for logarithmic mean are known. In this paper, we give two reverse inequalities for Wigner--Yanase--Dyson function and logarithmic mean. We also compare the obtained results with the known bounds of the logarithmic mean. Finally, we give operator inequalities based on the obtained results.
Keywords
Cite
@article{arxiv.2301.02599,
title = {Wigner--Yanase--Dyson function and logarithmic mean},
author = {Shigeru Furuichi},
journal= {arXiv preprint arXiv:2301.02599},
year = {2024}
}
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11 pages