| 一个特定型定积分不等式的若干推广 |
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| 引用本文： | 王钦,李睿芳.一个特定型定积分不等式的若干推广[J].大学数学,2013,29(1):106-110. |
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| 作者姓名： | 王钦 李睿芳 |
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| 作者单位： | 1. 内蒙古农业大学计算机与信息工程学院,呼和浩特,010018
2. 内蒙古农业大学水利与土木建筑工程学院,呼和浩特,010018 |
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| 摘 要： | 通过适当构造辅助函数和应用牛顿—莱布尼兹公式、施瓦兹积分不等式,将一个特定型定积分不等式进行了推广.证明了只要被积函数在积分区间内存在零点,该特定型定积分不等式均成立,进而给出实例说明了该不等式成立的正确性.
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| 关 键 词： | 零点 辅助函数 牛顿—莱布尼兹公式 施瓦兹积分不等式 |
Some Generalization of a Specific Type Definite Integral Inequality |
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| WANG Qin
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LI Rui-fang.Some Generalization of a Specific Type Definite Integral Inequality[J].College Mathematics,2013,29(1):106-110. |
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| Authors: | WANG Qin LI Rui-fang |
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| Institution: | 1.College of Computer and Information Engineering,Inner Mongolia Agricultural University,Huhhot 010018,China; 2.College of Water Conservancy and Civil Engineering,Inner Mongolia Agricultural University,Hohhot 010018,China) |
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| Abstract: | A specific type definite integral inequality is generalized by structuring suitlable assistant functions as well as applying Newton-Leibniz formula and Schwarz integral inequality.Proved that the specific type definite integral inequality holds so long as the integrand function exists null point,after then,explain that the inequality is correct by means of actual examples. |
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| Keywords: | null points assistant functions Newton-Leibniz formula Schwarz integral inequality |
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