| 关于几个积分不等式 |
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| 引用本文： | 郝勤道,张士勤,祁锋. 关于几个积分不等式[J]. 南都学坛, 1997, 0(6) |
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| 作者姓名： | 郝勤道 张士勤 祁锋 |
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| 作者单位： | 焦作工学院基础部(郝勤道)，南阳师专数学系(张士勤)，焦作工学院(祁锋) |
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| 摘 要： | 利用Tchebycheff积分不等式构造了几个三角函数不等式.估计了与sinx／x，x∈［0，π］有关的定积分的值.得到一些积分不等式.改进或推广了有关结果。
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| 关 键 词： | Tchebycheff积分不等式 三角函数不等式 积分不等式 Fejer-Jackson不等式 定积分 |
Estimates for some definite integrals |
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| Hao Qindao, Zhang Shiqin, Qi Feng. Estimates for some definite integrals[J]. Academic forum of nandu, 1997, 0(6) |
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| Authors: | Hao Qindao Zhang Shiqin Qi Feng |
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| Affiliation: | Hao Qindao; Zhang Shiqin; Qi Feng(Jiaozuo Institute of Technology) (Nanyang Teachers' College) |
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| Abstract: | By using the Tchebycheff's integral inequality the author forms some inequalitiesof trigonometric functions, furthermore, obtains severaral integral inequalities and estimates ofdefinite integrals related to sinx/x, x∈[0, π/2]. They improve and extend the results in thereferences. |
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| Keywords: | Tchebycheff's integral inequality trigonometric function Fejer-Jackson's inequality integral inequality definite integral |
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