在可调和半群上定义的粗糙统计收敛函数

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-06-28 DOI:10.1007/s40010-024-00881-z

Erdinç Dündar, Uǧur Ulusu

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摘要

在本文中，我们提出了粗略统计收敛的概念，以及定义在离散可数半群（DCASG）上的函数的粗略统计极限点集合（\(st-\text {LIM}^r h\) ），并给出了一些性质，如有界性、封闭性和凸性。然后，对于定义在 DCASG 上的函数，讨论了 \(st-\text {LIM}^r h\) 与统计聚类点之间的关系

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Rough Statistical Convergent Functions Defined on Amenable Semigroups

In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (\(st-\text {LIM}^r h\)) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between \(st-\text {LIM}^r h\) and statistical cluster points are discussed

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