An identity related to Jordan's inequality
The main purpose of this note is to establish an identity which states that the function sinx/x is a power series of (π2−4x2) with positive coefficients for all x≠0. This enable us to obtain a much stronger Jordan's inequality than that obtained before.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/76782 |
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| _version_ | 1849406128464592896 |
|---|---|
| author | Jian-Lin Li |
| author_facet | Jian-Lin Li |
| author_sort | Jian-Lin Li |
| collection | DOAJ |
| description | The main purpose of this note is to establish an
identity which states that the function sinx/x is a power series of (π2−4x2) with positive coefficients for all x≠0. This enable us to obtain a much stronger Jordan's inequality
than that obtained before. |
| format | Article |
| id | doaj-art-521e7ea64fde4bf4965ff2b794dcd944 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-521e7ea64fde4bf4965ff2b794dcd9442025-08-20T03:36:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7678276782An identity related to Jordan's inequalityJian-Lin Li0College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, ChinaThe main purpose of this note is to establish an identity which states that the function sinx/x is a power series of (π2−4x2) with positive coefficients for all x≠0. This enable us to obtain a much stronger Jordan's inequality than that obtained before.http://dx.doi.org/10.1155/IJMMS/2006/76782 |
| spellingShingle | Jian-Lin Li An identity related to Jordan's inequality International Journal of Mathematics and Mathematical Sciences |
| title | An identity related to Jordan's inequality |
| title_full | An identity related to Jordan's inequality |
| title_fullStr | An identity related to Jordan's inequality |
| title_full_unstemmed | An identity related to Jordan's inequality |
| title_short | An identity related to Jordan's inequality |
| title_sort | identity related to jordan s inequality |
| url | http://dx.doi.org/10.1155/IJMMS/2006/76782 |
| work_keys_str_mv | AT jianlinli anidentityrelatedtojordansinequality AT jianlinli identityrelatedtojordansinequality |