On Frame’s inequalities
Abstract In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt.
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| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1687-x |
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doaj-4aab08ea76164a9b92b5b8b8b1347b9d2020-11-25T00:34:36ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-04-012018111410.1186/s13660-018-1687-xOn Frame’s inequalitiesLing Zhu0Department of Mathematics, Zhejiang Gongshang UniversityAbstract In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt.http://link.springer.com/article/10.1186/s13660-018-1687-xCircular functionsHyperbolic functionsFrame’s inequalitiesCusa–Huygens inequalities |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ling Zhu |
| spellingShingle |
Ling Zhu On Frame’s inequalities Journal of Inequalities and Applications Circular functions Hyperbolic functions Frame’s inequalities Cusa–Huygens inequalities |
| author_facet |
Ling Zhu |
| author_sort |
Ling Zhu |
| title |
On Frame’s inequalities |
| title_short |
On Frame’s inequalities |
| title_full |
On Frame’s inequalities |
| title_fullStr |
On Frame’s inequalities |
| title_full_unstemmed |
On Frame’s inequalities |
| title_sort |
on frame’s inequalities |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2018-04-01 |
| description |
Abstract In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt. |
| topic |
Circular functions Hyperbolic functions Frame’s inequalities Cusa–Huygens inequalities |
| url |
http://link.springer.com/article/10.1186/s13660-018-1687-x |
| work_keys_str_mv |
AT lingzhu onframesinequalities |
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