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拟连续函数的刻画
引用本文:张士生.拟连续函数的刻画[J].河南师范大学学报(自然科学版),1989(4):65-67.
作者姓名:张士生
作者单位:中国科学院应用数学所
摘    要:本文给出了函数关于非负、次可加容度拟连续的充分必要条件及与之有关的性质。

关 键 词:容度  拟连续函数  以容度收敛

THE CHARACTERIZATION OF QUASI-CONTINUOUS FUNCTIONS
Zhang Tusheng.THE CHARACTERIZATION OF QUASI-CONTINUOUS FUNCTIONS[J].Journal of Henan Normal University(Natural Science),1989(4):65-67.
Authors:Zhang Tusheng
Institution:Zhang Tusheng
Abstract:In this paper, we consider quasi-continuous functions with respect to a given capacity C, and have obtained that a function u is quasi-continuous if and only if there exists a sequence continuous functions {u_n} such that u_n convergent to u in capacity.
Keywords:capacity  quasi-continuous  convergence in capacity
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