Wigner--Yanase--Dyson function and logarithmic mean
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911761275289600 |
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| author | Furuichi, Shigeru |
| author_facet | Furuichi, Shigeru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02599 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wigner--Yanase--Dyson function and logarithmic mean Furuichi, Shigeru General Mathematics Primary 26E60, Secondary 26D07 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. |
| title | Wigner--Yanase--Dyson function and logarithmic mean |
| topic | General Mathematics Primary 26E60, Secondary 26D07 |
| url | https://arxiv.org/abs/2301.02599 |