Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality
Abstract In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-015-0947-2 |
| _version_ | 1828976426111467520 |
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| author | Jian Liu |
| author_facet | Jian Liu |
| author_sort | Jian Liu |
| collection | DOAJ |
| description | Abstract In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward. |
| first_indexed | 2024-12-14T14:37:12Z |
| format | Article |
| id | doaj.art-fbfa8b90f5a64ea2bd4f77092d216ddb |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T14:37:12Z |
| publishDate | 2016-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-fbfa8b90f5a64ea2bd4f77092d216ddb2022-12-21T22:57:33ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-01-012016111810.1186/s13660-015-0947-2Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequalityJian Liu0East China Jiaotong UniversityAbstract In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.http://link.springer.com/article/10.1186/s13660-015-0947-2Erdös-Mordell inequalityBarrow’s inequalityOppenheim’s inequalitytriangleinterior point |
| spellingShingle | Jian Liu Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality Journal of Inequalities and Applications Erdös-Mordell inequality Barrow’s inequality Oppenheim’s inequality triangle interior point |
| title | Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality |
| title_full | Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality |
| title_fullStr | Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality |
| title_full_unstemmed | Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality |
| title_short | Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality |
| title_sort | refinements of the erdos mordell inequality barrow s inequality and oppenheim s inequality |
| topic | Erdös-Mordell inequality Barrow’s inequality Oppenheim’s inequality triangle interior point |
| url | http://link.springer.com/article/10.1186/s13660-015-0947-2 |
| work_keys_str_mv | AT jianliu refinementsoftheerdosmordellinequalitybarrowsinequalityandoppenheimsinequality |