@article{article_1330281, title={Strongly Lacunary $\mathcal{I}^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}^{\ast }$-Cauchy Sequence}, journal={Mathematical Sciences and Applications E-Notes}, volume={12}, pages={20–27}, year={2024}, DOI={10.36753/mathenot.1330281}, author={Pancaroğlu Akın, Nimet and Dündar, Erdinç}, keywords={Ideal, Lacunary sequence, $\mathcal{I}$-Convergence, $\mathcal{I}$-Cauchy Sequence}, 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.}, number={1}, publisher={Murat TOSUN}