部分度量值函数序列的统计收敛性
Statistical convergence of sequences of partial metric valued functions
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中文总结 AI 辅助
本文引入部分度量值函数序列的统计逐点收敛、统计一致收敛及等统计收敛等概念，探究各类收敛性间的关系，拓展了部分度量值函数序列收敛性的相关研究。
中文摘要 AI 辅助
本文首先引入并研究部分度量值函数序列的逐点收敛与一致收敛概念；还引入该类函数序列的逐点柯西性与一致柯西性概念，探究其与逐点收敛、一致收敛的关系。进一步引入并研究部分度量值函数序列的统计逐点收敛与统计一致收敛概念，包括二者的相互关系；同时引入该类函数序列的等统计收敛概念，探究其与统计逐点收敛、统计一致收敛的关系。
英文摘要
In this paper we first introduce and study the notions of pointwise convergence and uniform convergence of sequences of partial metric valued functions. Also introducing the notions of pointwise Cauchyness and uniform Cauchyness of sequences of partial metric valued functions, we study their relationship with pointwise convergence and uniform convergence. Further we introduce and study the notions of statistical pointwise convergence and statistical uniform convergence of sequences of partial metric valued functions including their interrelationship. Also, introducing the notion of equi-statistical convergence of sequences of partial metric valued functions we study its relationship with statistical pointwise convergence and statistical uniform convergence.
