| 二次可微函数的Ostrowski型不等式 |
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| 引用本文： | 陈颖树,俞元洪. 二次可微函数的Ostrowski型不等式[J]. 数学的实践与认识, 2005, 35(12): 188-192 |
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| 作者姓名： | 陈颖树 俞元洪 |
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| 作者单位： | 1. 琼州大学数学系,海南,五指山,572200
2. 中国科学院数学与系统科学研究院,北京,100080 |
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| 基金项目： | 海南省普通高等学校第一批省级重点课程项目“数学分析”课程建设(琼教高[2002]68号) |
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| 摘 要： | 研究了一类二次可微函数,利用二阶导数的上界和下界,给出了二次可微函数的O strow sk i型不等式,同时也推广了经典的中点不等式和梯形不等式.
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| 关 键 词： | 二次可微函数 Ostrowski不等式 中点不等式 梯形不等式 |
| 修稿时间： | 2004-08-05 |
An Inequality of Ostrowski Type for Twice Differentiable Functions |
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| CEHN Ying-shu,YU Yuan-hong. An Inequality of Ostrowski Type for Twice Differentiable Functions[J]. Mathematics in Practice and Theory, 2005, 35(12): 188-192 |
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| Authors: | CEHN Ying-shu YU Yuan-hong |
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| Affiliation: | CEHN Ying shu~1,YU Yuan hong~2 |
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| Abstract: | A twice differentiable functions is studied.A new inequality of Ostrowski type for twice differentiable functions by upper and lower bounds of second derivative is given,which extends the classical midpoint inequality and trapegoid inequality. |
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| Keywords: | twice differentiable functions ostrowski inequality midpoint inequality trapegoid inequality |
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