| Autor: |
Esra Gülle, Nimet Pancaroğlu Akın, Erdinç Dündar |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Universal Journal of Mathematics and Applications, Vol 6, Iss 4, Pp 155-161 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2619-9653 |
| DOI: |
10.32323/ujma.1376849 |
| Popis: |
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations between $\mathcal{I}_{\theta_2}^{\ast}$-convergence and strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and also between strongly $\mathcal{I}_{\theta_2}$-convergence and strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence. Also, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-Cauchy sequence and examined the relations between strongly $\mathcal{I}_{\theta_2}$-Cauchy sequence and strongly $\mathcal{I}_{\theta_2}^{\ast}$-Cauchy sequence. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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