摘要
给出了绝对值函数的7个一致光滑逼近函数:5个上方一致光滑逼近函数和2个下方一致光滑逼近函数。研究了这些光滑逼近函数的性质,从理论上分析了这7个光滑函数的逼近程度,并通过图像展示了逼近效果;最后指出了一致光滑逼近函数的应用前景。
This paper presents seven uniform smooth approximating functions for absolute value function:five of them approximate absolute value function from above,and the others approximate absolute value function from below.The properties of these smooth approximating functions are studied,and approximation degree are analyzed in theory and demonstrated by images.Finally,application prospect of uniform smooth approximating function are pointed out.
作者
雍龙泉
YONG Long-quan(School of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723000,China)
出处
《陕西理工大学学报(自然科学版)》
2018年第1期74-79,共6页
Journal of Shaanxi University of Technology:Natural Science Edition
基金
国家自然科学基金资助项目(11401357)
陕西省青年科技新星项目(2016KJXX-95)
陕西省教育厅科研基金资助项目(16JK1150)
陕西理工大学科研基金资助项目(SLGKYQD2-14
SLGYJG1416
SLGYJG1507)
关键词
绝对值函数
一致光滑逼近函数
逼近程度
absolute value function
uniform smooth approximating function
approximation degree