论双重序列的 q 统计收敛性

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

Mohammad Mursaleen, Sabiha Tabassum, Ruqaiyya Fatma

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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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