Inequalities for the generalized trigonometric and hyperbolic functions
In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Hu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INT |
| _version_ | 1818925181586898944 |
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| author | Ma Xiaoyan Si Xiangbin Zhong Genhong He Jianhui |
| author_facet | Ma Xiaoyan Si Xiangbin Zhong Genhong He Jianhui |
| author_sort | Ma Xiaoyan |
| collection | DOAJ |
| description | In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Huygens inequality, Lazarević inequality and Cusa-Huygens inequality. |
| first_indexed | 2024-12-20T02:37:09Z |
| format | Article |
| id | doaj.art-32697215b8e84a3b875c075a18f630cf |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-20T02:37:09Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-32697215b8e84a3b875c075a18f630cf2022-12-21T19:56:24ZengDe GruyterOpen Mathematics2391-54552020-12-011811580158910.1515/math-2020-0096math-2020-0096Inequalities for the generalized trigonometric and hyperbolic functionsMa Xiaoyan0Si Xiangbin1Zhong Genhong2He Jianhui3Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, ChinaBasic Department, Keyi College of Zhejiang Sci-Tech University, Shaoxing, 312300, ChinaBasic Department, Keyi College of Zhejiang Sci-Tech University, Shaoxing, 312300, ChinaIn this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Huygens inequality, Lazarević inequality and Cusa-Huygens inequality.http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INTgeneralized trigonometric and hyperbolic functionswilker inequalityhuygens inequalitylazarević inequalitycusa-huygens inequality26d0526d07 |
| spellingShingle | Ma Xiaoyan Si Xiangbin Zhong Genhong He Jianhui Inequalities for the generalized trigonometric and hyperbolic functions Open Mathematics generalized trigonometric and hyperbolic functions wilker inequality huygens inequality lazarević inequality cusa-huygens inequality 26d05 26d07 |
| title | Inequalities for the generalized trigonometric and hyperbolic functions |
| title_full | Inequalities for the generalized trigonometric and hyperbolic functions |
| title_fullStr | Inequalities for the generalized trigonometric and hyperbolic functions |
| title_full_unstemmed | Inequalities for the generalized trigonometric and hyperbolic functions |
| title_short | Inequalities for the generalized trigonometric and hyperbolic functions |
| title_sort | inequalities for the generalized trigonometric and hyperbolic functions |
| topic | generalized trigonometric and hyperbolic functions wilker inequality huygens inequality lazarević inequality cusa-huygens inequality 26d05 26d07 |
| url | http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0096/math-2020-0096.xml?format=INT |
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