摘要
一致收敛概念是为深入研究极限函数的分析性质而提出的.运用一致收敛概念深入研究了极限函数的分析性质,并探讨了一系列比一致收敛弱、仍能保留极限函数良好分析性质的收敛性态,研究了这些收敛性态之间的关系.
The concept of uniform convergence was proposed for the thorough research on the analyticity of the functions defined as limits. This paper studies the analytic properties of the functions defined by limits through the discussion of the concept of uniform convergence. A series of convergences, which are weaker than uniform convergence and preserve the good analytic properties,are researched. The relationships of these convergences are researched as wall.
出处
《石家庄学院学报》
2006年第6期36-42,共7页
Journal of Shijiazhuang University
关键词
一致收敛
逐点收敛
极限函数
可积性
几乎处处收敛
依测度收敛
uniform convergence
pointwise convergence
function defined as limits
integrability
convergence at almost everywhere
convergence in measure
