Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence
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Abstract
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.强缺$\mathcal{I}^{\ast}$-收敛性与强缺$\mathcal{I}^{\ast}$-柯西序列
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。
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