On the Lawson–Lim means and Karcher mean for positive invertible operators
Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1817-5 |
| _version_ | 1819274234308853760 |
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| author | Wenshi Liao Pujun Long Zemin Ren Junliang Wu |
| author_facet | Wenshi Liao Pujun Long Zemin Ren Junliang Wu |
| author_sort | Wenshi Liao |
| collection | DOAJ |
| description | Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers. |
| first_indexed | 2024-12-23T23:05:11Z |
| format | Article |
| id | doaj.art-934e81f382304f84abd2d3be333951d9 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-23T23:05:11Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-934e81f382304f84abd2d3be333951d92022-12-21T17:26:50ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-09-01201811910.1186/s13660-018-1817-5On the Lawson–Lim means and Karcher mean for positive invertible operatorsWenshi Liao0Pujun Long1Zemin Ren2Junliang Wu3College of Mathematics and Physics, Chongqing University of Science and TechnologyCollege of Mathematics and Physics, Chongqing University of Science and TechnologyCollege of Mathematics and Physics, Chongqing University of Science and TechnologyCollege of Mathematics and Statistics, Chongqing UniversityAbstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.http://link.springer.com/article/10.1186/s13660-018-1817-5Karcher meanLawson–Lim geometric meanAndo–Li–Mathias geometric meanKantorovich constant |
| spellingShingle | Wenshi Liao Pujun Long Zemin Ren Junliang Wu On the Lawson–Lim means and Karcher mean for positive invertible operators Journal of Inequalities and Applications Karcher mean Lawson–Lim geometric mean Ando–Li–Mathias geometric mean Kantorovich constant |
| title | On the Lawson–Lim means and Karcher mean for positive invertible operators |
| title_full | On the Lawson–Lim means and Karcher mean for positive invertible operators |
| title_fullStr | On the Lawson–Lim means and Karcher mean for positive invertible operators |
| title_full_unstemmed | On the Lawson–Lim means and Karcher mean for positive invertible operators |
| title_short | On the Lawson–Lim means and Karcher mean for positive invertible operators |
| title_sort | on the lawson lim means and karcher mean for positive invertible operators |
| topic | Karcher mean Lawson–Lim geometric mean Ando–Li–Mathias geometric mean Kantorovich constant |
| url | http://link.springer.com/article/10.1186/s13660-018-1817-5 |
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