New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant
A multiple-point Padé approximant method is presented for approximating and bounding some trigonometric functions in this paper. We give new refinements and improvements of some trigonometric inequalities including Jordan’s inequality, Kober’s inequality, and Becker-Stark’s inequality. The analysis...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2753691 |
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| _version_ | 1832561447736967168 |
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| author | Lina Zhang Xuesi Ma |
| author_facet | Lina Zhang Xuesi Ma |
| author_sort | Lina Zhang |
| collection | DOAJ |
| description | A multiple-point Padé approximant method is presented for approximating and bounding some trigonometric functions in this paper. We give new refinements and improvements of some trigonometric inequalities including Jordan’s inequality, Kober’s inequality, and Becker-Stark’s inequality. The analysis results show that our conclusions are better than the previous conclusions. |
| format | Article |
| id | doaj-art-a80cacb520184b988a9fe212c73525b6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a80cacb520184b988a9fe212c73525b62025-02-03T01:24:57ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/27536912753691New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé ApproximantLina Zhang0Xuesi Ma1School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaA multiple-point Padé approximant method is presented for approximating and bounding some trigonometric functions in this paper. We give new refinements and improvements of some trigonometric inequalities including Jordan’s inequality, Kober’s inequality, and Becker-Stark’s inequality. The analysis results show that our conclusions are better than the previous conclusions.http://dx.doi.org/10.1155/2020/2753691 |
| spellingShingle | Lina Zhang Xuesi Ma New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant Journal of Mathematics |
| title | New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant |
| title_full | New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant |
| title_fullStr | New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant |
| title_full_unstemmed | New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant |
| title_short | New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant |
| title_sort | new refinements and improvements of some trigonometric inequalities based on pade approximant |
| url | http://dx.doi.org/10.1155/2020/2753691 |
| work_keys_str_mv | AT linazhang newrefinementsandimprovementsofsometrigonometricinequalitiesbasedonpadeapproximant AT xuesima newrefinementsandimprovementsofsometrigonometricinequalitiesbasedonpadeapproximant |