| 一个周期函数不等式及其应用 |
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| 引用本文： | 方牛发,朱保成. 一个周期函数不等式及其应用[J]. 数学杂志, 2014, 34(1): 155-160 |
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| 作者姓名： | 方牛发 朱保成 |
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| 作者单位： | 西南大学数学与统计学院 |
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| 摘 要： | 本文研究一类特殊的周期函数,利用Fourier级数的方法,获得了关于这类周期函数的一个积分不等式.此函数积分不等式等价于著名的关于平面两凸集混合面积的Minkowski不等式.
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| 关 键 词： | Minkowski混合面积 Minkowski不等式 周期函数 等周不等式 |
| 收稿时间： | 2012-10-14 |
| 修稿时间： | 2013-01-04 |
AN INEQUALITY OF PERIODIC FUNCTIONS AND ITS APPLICATION |
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| FANG Niu-fa and ZHU Bao-cheng. AN INEQUALITY OF PERIODIC FUNCTIONS AND ITS APPLICATION[J]. Journal of Mathematics, 2014, 34(1): 155-160 |
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| Authors: | FANG Niu-fa and ZHU Bao-cheng |
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| Affiliation: | FANG Niu-fa;ZHU Bao-cheng;School of Mathematics and Statistics,Southwest University; |
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| Abstract: | In this paper, we investigate some special periodic functions and obtain an integral inequality for those periodic functions by Fourier series. The integral inequality obtained is equivalent to the well-known Minkowski inequality for mixed area of two planar convex sets. |
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| Keywords: | Minkowski mixed area Minkowski inequality periodic function isoperimetric inequality |
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