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

Authors : Nimet Pancaroğlu Akin, Erdinç Dündar

Pages : 20-27

Doi:10.36753/mathenot.1330281

View : 106 | Download : 90

Publication Date : 2024-01-28

Article Type : Research Paper

Abstract :In this paper, we defined the concepts of lacunary $\\mathcal{I}^{\\ast}$-convergence and strongly lacunary $\\mathcal{I}^{\\ast}$-convergence. We investigated the relations between strongly lacunary $\\mathcal{I}$-convergence and strongly lacunary $\\mathcal{I}^{\\ast}$-convergence. Also, we defined the concept of strongly lacunary $\\mathcal{I}^{\\ast}$-Cauchy sequence and investigated the relations between strongly lacunary $\\mathcal{I}$-Cauchy sequence and strongly lacunary $\\mathcal{I}^{\\ast}$-Cauchy sequence.
Keywords : Ideal, Lacunary sequence, mathcal I Convergence, mathcal I Cauchy Sequence

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