论双重序列的 q 统计收敛性

IF 0.6 3区数学 Q3 MATHEMATICS

Periodica Mathematica Hungarica Pub Date : 2024-01-19 DOI:10.1007/s10998-023-00556-z

Mohammad Mursaleen, Sabiha Tabassum, Ruqaiyya Fatma

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引用次数: 0

摘要

本文研究双序列的 q 统计收敛。给出了双序列的 q-analog of statistical Cauchy 和 statistical pre-Cauchy 的定义。同时还得到了双序列具有不同统计极限的必要条件和充分条件。我们证明了 q 统计收敛序列是 q 统计考奇序列，反之亦然。

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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On the q-statistical convergence of double sequences

In this paper, we study q-statistical convergence for double sequences. The definitions of q-analog of statistical Cauchy and statistical pre-Cauchy for double sequences are given. The necessary and sufficient condition for a double sequence to have different statistical limits is also obtained. We show that a q-statistical convergent sequence is q-statistical Cauchy and vice-versa.

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来源期刊

Periodica Mathematica Hungarica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.