New approximation inequalities for circular functions
Abstract In this paper, we obtain some improved exponential approximation inequalities for the functions (sinx)/x $(\sin x)/x$ and sec(x) $\sec(x)$, and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1910-9 |
| _version_ | 1819017570439659520 |
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| author | Ling Zhu Marija Nenezić |
| author_facet | Ling Zhu Marija Nenezić |
| author_sort | Ling Zhu |
| collection | DOAJ |
| description | Abstract In this paper, we obtain some improved exponential approximation inequalities for the functions (sinx)/x $(\sin x)/x$ and sec(x) $\sec(x)$, and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series. |
| first_indexed | 2024-12-21T03:05:38Z |
| format | Article |
| id | doaj.art-16b58a8fe43a42dcb4e73ca1f6c2a507 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-21T03:05:38Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-16b58a8fe43a42dcb4e73ca1f6c2a5072022-12-21T19:18:05ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-11-012018111210.1186/s13660-018-1910-9New approximation inequalities for circular functionsLing Zhu0Marija Nenezić1Department of Mathematics, Zhejiang Gongshang UniversitySchool of Electrical Engineering, University of BelgradeAbstract In this paper, we obtain some improved exponential approximation inequalities for the functions (sinx)/x $(\sin x)/x$ and sec(x) $\sec(x)$, and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.http://link.springer.com/article/10.1186/s13660-018-1910-9Circular functionsBernoulli numbersMitrinovic–Adamovic inequalityExponential approximation inequalities |
| spellingShingle | Ling Zhu Marija Nenezić New approximation inequalities for circular functions Journal of Inequalities and Applications Circular functions Bernoulli numbers Mitrinovic–Adamovic inequality Exponential approximation inequalities |
| title | New approximation inequalities for circular functions |
| title_full | New approximation inequalities for circular functions |
| title_fullStr | New approximation inequalities for circular functions |
| title_full_unstemmed | New approximation inequalities for circular functions |
| title_short | New approximation inequalities for circular functions |
| title_sort | new approximation inequalities for circular functions |
| topic | Circular functions Bernoulli numbers Mitrinovic–Adamovic inequality Exponential approximation inequalities |
| url | http://link.springer.com/article/10.1186/s13660-018-1910-9 |
| work_keys_str_mv | AT lingzhu newapproximationinequalitiesforcircularfunctions AT marijanenezic newapproximationinequalitiesforcircularfunctions |