| 变限定积分的若干性质 |
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| 引用本文： | 许万银,董广前,徐宏武.变限定积分的若干性质[J].喀什师范学院学报,2003,24(6):7-10. |
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| 作者姓名： | 许万银 董广前 徐宏武 |
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| 作者单位： | 陇东学院,数学系,甘肃,庆阳,745000 |
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| 摘 要： | 给出了变上限与变下限定积分所确定函数的连续性、可微性、单词性、凹凸性、奇偶性、周期性，利用变上限定积分建立了函数凸及导函数可积的充分必要条件。
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| 关 键 词： | 定积分 连续性 可微性 奇偶性 周期性 |
| 文章编号： | 1006-432X(2003)06-0007-04 |
On Properties of Variable-Definite Integral |
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| XU Wan-yin,DONG Guang-qian,XU Hong-wu.On Properties of Variable-Definite Integral[J].Journal of Kashgar Teachers College,2003,24(6):7-10. |
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| Authors: | XU Wan-yin DONG Guang-qian XU Hong-wu |
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| Abstract: | This article present the continuity,differentiability,monotonicity,concave-convex,parity and periodicity of the function netermined by the definite integral of variable upper limit and variable lower limit,establishes the sufficient and necessary requirements of functional convex and integrability of derived function by using the definite integral of variable upper limit. |
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| Keywords: | variable upper limit variable lower limit definite integral continuity differentiability concave-convex parity periodicity |
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