摘要
利用均值代替区间上函数值的方法离散具有弱奇异核k(s,t)=y(t)/|s-t|^(a)的Abel积分算子,得到了由该方法产生的投影算子,并证明了算法的合理性和有效性.
The Abel integral operators with weak singular kernel k(s,t)=y(t)/|s-t|^(a)are discretized by means replacing function values on interval,and the projection operators generated by this method are obtained,and the rationality and effectiveness of the algorithm are proved.
作者
傅俊伟
王希斌
褚相玲
FU Junwei;WANG Xibin;CHU Xiangling(School of Science,Qiqihar University,Qiqihar 161006,China;Qiqihar Korean Middle School,Qiqihar 161006,China;Qiqihar Hengchang Middle School,Qiqihar 161005,China)
出处
《高师理科学刊》
2021年第11期4-6,共3页
Journal of Science of Teachers＇College and University
基金
黑龙江省省属高等学校基本科研业务费科研项目(135309478)。
关键词
Abel积分算子
弱奇异核
紧性
Abel integral operator
weak singular kernel
compactness
