New Sharp Double Inequality of Becker–Stark Type
In this paper, we establish new sharp double inequality of Becker–Stark type by using a role of the monotonicity criterion for the quotient of power series and the estimation of the ratio of two adjacent even-indexed Bernoulli numbers. The inequality results are better than those in the existing lit...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/4/558 |
| _version_ | 1827654152813019136 |
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| author | Ling Zhu |
| author_facet | Ling Zhu |
| author_sort | Ling Zhu |
| collection | DOAJ |
| description | In this paper, we establish new sharp double inequality of Becker–Stark type by using a role of the monotonicity criterion for the quotient of power series and the estimation of the ratio of two adjacent even-indexed Bernoulli numbers. The inequality results are better than those in the existing literature. |
| first_indexed | 2024-03-09T21:30:27Z |
| format | Article |
| id | doaj.art-662ce7a5155a44a4ab6ae343f65d2c1d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:30:27Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-662ce7a5155a44a4ab6ae343f65d2c1d2023-11-23T20:56:38ZengMDPI AGMathematics2227-73902022-02-0110455810.3390/math10040558New Sharp Double Inequality of Becker–Stark TypeLing Zhu0Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, ChinaIn this paper, we establish new sharp double inequality of Becker–Stark type by using a role of the monotonicity criterion for the quotient of power series and the estimation of the ratio of two adjacent even-indexed Bernoulli numbers. The inequality results are better than those in the existing literature.https://www.mdpi.com/2227-7390/10/4/558Becker–Stark type inequalitycircular functionsthe ratio of two adjacent even-indexed Bernoulli numbers |
| spellingShingle | Ling Zhu New Sharp Double Inequality of Becker–Stark Type Mathematics Becker–Stark type inequality circular functions the ratio of two adjacent even-indexed Bernoulli numbers |
| title | New Sharp Double Inequality of Becker–Stark Type |
| title_full | New Sharp Double Inequality of Becker–Stark Type |
| title_fullStr | New Sharp Double Inequality of Becker–Stark Type |
| title_full_unstemmed | New Sharp Double Inequality of Becker–Stark Type |
| title_short | New Sharp Double Inequality of Becker–Stark Type |
| title_sort | new sharp double inequality of becker stark type |
| topic | Becker–Stark type inequality circular functions the ratio of two adjacent even-indexed Bernoulli numbers |
| url | https://www.mdpi.com/2227-7390/10/4/558 |
| work_keys_str_mv | AT lingzhu newsharpdoubleinequalityofbeckerstarktype |