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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. |
| 关键词: Minkowski混合面积 Minkowski不等式 周期函数 等周不等式 |
| DOI： |
| 分类号:O186.5 |
| 基金项目: |
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| AN INEQUALITY OF PERIODIC FUNCTIONS AND ITS APPLICATION |
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FANG Niu-fa,ZHU Bao-cheng
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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. |
| Key words: Minkowski mixed area Minkowski inequality periodic function isoperimetric inequality |
