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Volume 7, Issue 2, Article 63 |
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Extensions and Sharpenings of Jordan's and Kober's Inequalities
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Authors: |
Xiaohui Zhang, Gendi Wang, Yuming Chu, |
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Keywords:
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Monotonicity; Jordan's inequality; Kober's inequality; Extension and sharpening. |
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Date Received:
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15/09/05 |
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Date Accepted:
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24/02/06 |
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Subject Codes: |
Primary 26D05
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper the authors discuss some monotonicity properties of functions involving sine and cosine, and obtain some sharp inequalities for them. These inequalities are extensions and sharpenings of the well-known Jordan's and Kober's inequalities.
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