Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function
We sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/930294 |
| _version_ | 1828781619339591680 |
|---|---|
| author | Feng Qi Shi-Qin Zhang Bai-Ni Guo |
| author_facet | Feng Qi Shi-Qin Zhang Bai-Ni Guo |
| author_sort | Feng Qi |
| collection | DOAJ |
| description | We sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined. |
| first_indexed | 2024-12-11T17:37:10Z |
| format | Article |
| id | doaj.art-f6072a92e75f48c78f36f27b71b3bda9 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T17:37:10Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f6072a92e75f48c78f36f27b71b3bda92022-12-22T00:56:39ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/930294Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent FunctionFeng QiShi-Qin ZhangBai-Ni GuoWe sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.http://dx.doi.org/10.1155/2009/930294 |
| spellingShingle | Feng Qi Shi-Qin Zhang Bai-Ni Guo Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function Journal of Inequalities and Applications |
| title | Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function |
| title_full | Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function |
| title_fullStr | Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function |
| title_full_unstemmed | Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function |
| title_short | Sharpening and Generalizations of Shafer's Inequality for the Arc Tangent Function |
| title_sort | sharpening and generalizations of shafer 39 s inequality for the arc tangent function |
| url | http://dx.doi.org/10.1155/2009/930294 |
| work_keys_str_mv | AT fengqi sharpeningandgeneralizationsofshafer39sinequalityforthearctangentfunction AT shiqinzhang sharpeningandgeneralizationsofshafer39sinequalityforthearctangentfunction AT bainiguo sharpeningandgeneralizationsofshafer39sinequalityforthearctangentfunction |