Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
Abstract In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker–Cusa–Huygens type.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1545-7 |
| _version_ | 1818843817985441792 |
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| author | Branko Malešević Tatjana Lutovac Marija Rašajski Cristinel Mortici |
| author_facet | Branko Malešević Tatjana Lutovac Marija Rašajski Cristinel Mortici |
| author_sort | Branko Malešević |
| collection | DOAJ |
| description | Abstract In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker–Cusa–Huygens type. |
| first_indexed | 2024-12-19T05:03:54Z |
| format | Article |
| id | doaj.art-6a9bcb1d9f194d9cb4e595222fac5b9a |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-19T05:03:54Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-6a9bcb1d9f194d9cb4e595222fac5b9a2022-12-21T20:35:00ZengSpringerOpenAdvances in Difference Equations1687-18472018-03-012018111510.1186/s13662-018-1545-7Extensions of the natural approach to refinements and generalizations of some trigonometric inequalitiesBranko Malešević0Tatjana Lutovac1Marija Rašajski2Cristinel Mortici3School of Electrical Engineering, University of BelgradeSchool of Electrical Engineering, University of BelgradeSchool of Electrical Engineering, University of BelgradeValahia University of TârgovişteAbstract In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker–Cusa–Huygens type.http://link.springer.com/article/10.1186/s13662-018-1545-7SharpeningGeneralizationWilker–Cusa–Huygens’s inequalitiesSine and cosine functionsLeibniz’s theorem for alternating series |
| spellingShingle | Branko Malešević Tatjana Lutovac Marija Rašajski Cristinel Mortici Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities Advances in Difference Equations Sharpening Generalization Wilker–Cusa–Huygens’s inequalities Sine and cosine functions Leibniz’s theorem for alternating series |
| title | Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| title_full | Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| title_fullStr | Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| title_full_unstemmed | Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| title_short | Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| title_sort | extensions of the natural approach to refinements and generalizations of some trigonometric inequalities |
| topic | Sharpening Generalization Wilker–Cusa–Huygens’s inequalities Sine and cosine functions Leibniz’s theorem for alternating series |
| url | http://link.springer.com/article/10.1186/s13662-018-1545-7 |
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