强缺$\mathcal{I}^{\ast}$-收敛性与强缺$\mathcal{I}^{\ast}$-柯西序列

Mathematical Sciences and Applications E-Notes Pub Date : 2023-09-13 DOI:10.36753/mathenot.1330281

Nimet PANCAROĞLU AKIN, Erdinç DÜNDAR

引用次数: 0

摘要

本文定义了缺元$\mathcal{I}^{\ast}$-收敛和强缺元$\mathcal{I}^{\ast}$-收敛的概念。研究了强缺元$\mathcal{I}$-收敛与强缺元$\mathcal{I}^{\ast}$-收敛之间的关系。同时，我们定义了强缺$\mathcal{I}^{\ast}$-Cauchy序列的概念，并研究了强缺$\mathcal{I}$-Cauchy序列与强缺$\mathcal{I}^{\ast}$-Cauchy序列之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence

In this paper, we define the concepts of lacunary $\mathcal{I}^{\ast}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. We investigate the relations between strongly lacunary $\mathcal{I}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-convergence. Also, we define the concept of strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence and investigate the relations between strongly lacunary $\mathcal{I}$-Cauchy sequence and strongly lacunary $\mathcal{I}^{\ast}$-Cauchy sequence.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematical Sciences and Applications E-Notes

自引率

0.00%

发文量