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Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2021-07-30 , DOI: 10.1186/s13660-021-02669-w Rasoul Abazari 1
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2021-07-30 , DOI: 10.1186/s13660-021-02669-w Rasoul Abazari 1
Affiliation
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of $\mathbb{N}^{l}$ is used to introduce a statistically convergent and Cauchy sequence and to study some basic facts.
中文翻译:
基于强拓扑的概率广义度量空间中的统计收敛
本文介绍了度为l的概率g-度量空间的概念,它是概率G-度量空间的推广。然后,通过赋予强拓扑,定义$\mathbb{N}^{l}$的子集A的l维渐近密度,引入统计收敛的柯西数列,研究一些基本事实。
更新日期:2021-07-30
中文翻译:
基于强拓扑的概率广义度量空间中的统计收敛
本文介绍了度为l的概率g-度量空间的概念,它是概率G-度量空间的推广。然后,通过赋予强拓扑,定义$\mathbb{N}^{l}$的子集A的l维渐近密度,引入统计收敛的柯西数列,研究一些基本事实。