| 函数的逼近及其在下半连续函数可微性中的应用 |
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| 引用本文： | 王晓敏,惠兴杰,吴从炘. 函数的逼近及其在下半连续函数可微性中的应用[J]. 应用泛函分析学报, 2002, 4(4): 289-293 |
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| 作者姓名： | 王晓敏 惠兴杰 吴从炘 |
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| 作者单位： | 1. 东北大学秦皇岛分校信息与计算科学系,河北,秦皇岛,066004
2. 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 |
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| 摘 要： | 通过函数的下卷积函数列的逼近方法,在变分原理中从扰动最小值点集的“大小”入手,研究了下半连续函数的可微性。
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| 关 键 词： | 下半连续函数 可微性 逼近 |
Approximation of Functions and Its Application to Differentiability of Lower Semicontinuous Functions |
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| WANG Xiao-min,HUI Xing-jie,WU Cong-xin. Approximation of Functions and Its Application to Differentiability of Lower Semicontinuous Functions[J]. Acta Analysis Functionalis Applicata, 2002, 4(4): 289-293 |
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| Authors: | WANG Xiao-min HUI Xing-jie WU Cong-xin |
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| Abstract: | Based on the "size" of the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the inf-convolution sequence. |
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| Keywords: | lower semicontinuous function differentiability approximation |
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