集的二重序列的序的空缺统计等价\(\eta\)

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 : 2023-03-15 DOI:10.1007/s40010-023-00818-y

Uğur Ulusu

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引用次数: 0

摘要

本文通过引入双集序列Wijsman意义上的渐近缺统计和阶\(\eta \) (\(0<\eta \le 1\))渐近强p-缺等价的概念，研究了这些概念的一些性质，并讨论了它们之间的关系。此外，还研究了这些概念与先前给出的关于双集序列的渐近等价概念之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lacunary Statistical Equivalence of Order \(\eta\) for Double Sequences of Sets

In this study, by introducing the concepts of asymptotical lacunary statistical and asymptotical strong p-lacunary equivalence of order \(\eta \) (\(0<\eta \le 1\)) in the Wijsman sense for double set sequences, some properties of these concepts are examined and also the relationship between these concepts is mentioned. Moreover, the relationships between these concepts and the asymptotical equivalence concepts previously given for double set sequences are investigated.

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