Orlicz Fonksiyonu Tarafından Belirlenen Karmaşık Belirsiz Üç İndisli Dizilerin Lacunary Yakınsaklığı Üzerine
Öz
In this study, we acquire some new class of lacunary convergent triple sequences by utilizing the notions of uncertainty theory and Orlicz function. We examine some topological features of the established sequence spaces and obtain significant results.
Anahtar Kelimeler
Hemen hemen yakınsak dizi Orlicz fonksiyonu Lacunary dizi Kompleks karmaşık değişken
Kaynakça
- Chen, X., Ning, Y., & Wang, X. (2016). Convergence of complex uncertain sequences. J. Intell. Fuzzy Syst., 30(6), 3357-3366. https://doi.org/10.3233/IFS-152083
- Dowari, P. J., & Tripathy, B.C. (2021). Lacunary sequences of complex uncertain variables defined by Orlicz functions. Proyecciones, 40(2), 355-370.
- Freedman, A. R., Sember, J. J., & Raphael, M. (1978). Some Cesàro-type summability spaces. Proc. Lond. Math. Soc., s3-37(3), 508-520. https://doi.org/10.1112/plms/s3-37.3.508
- Kamthan, P. K., & Gupta, M. (1981). Sequence spaces and series. Lecture notes in pure and applied mathematics 65, New York: Marcel Dekker Inc.
- Kişi, Ö., & Ünal, H. K. (2019). Lacunary statistical convergence of complex uncertain sequence. Sigma J. Eng. & Nat. Sci., 10(3), 277-286.
- Liu, B. (2009). Some research problems in uncertainty theory. J. Uncertain Syst., 3(1), 3-10.
- Liu, B. (2015). Uncertainty theory. Berlin: Springer, vol. 4. https://doi.org/10.1007/978-3-662-44354-5
- Tripathy, B. C., & Mahanta, S. (2003). On a class of sequences related to the l_p space defined by Orlicz functions. Soochow J. Math., 29(4), 379-391.
- Tripathy, B. C., & Mahanta, S. (2004). On a class of generalized lacunary difference sequence spaces defined by Orlicz functions. Acta Math. Appl. Sin., 20(2), 231-238. https://doi.org/10.1007/s10255-004-0163-1
- Tripathy, B. C., & Nath, P. (2017). Statistical convergence of complex uncertain sequences. New Math. Nat. Comput., 13(2), 359-374.https://doi.org/10.1142/S1793005717500090
- You, C. (2009). On the convergence of uncertain sequences. Math Comput Model., 49(3-4), 482-487. https://doi.org/10.1016/j.mcm.2008.07.007
Öz
Bu çalışmada, belirsizlik teorisi ve Orlicz fonksiyonu kavramları kullanılarak bazı yeni lacunary yakınsak üç indisli dizilerin sınıfını elde ettik. Kurulan dizi uzaylarının bazı topolojik özelliklerini inceledik ve önemli sonuçlar elde ettik.
Anahtar Kelimeler
Almost convergent sequence Orlicz function Lacunary sequence Complex uncertain variable
Kaynakça
- Chen, X., Ning, Y., & Wang, X. (2016). Convergence of complex uncertain sequences. J. Intell. Fuzzy Syst., 30(6), 3357-3366. https://doi.org/10.3233/IFS-152083
- Dowari, P. J., & Tripathy, B.C. (2021). Lacunary sequences of complex uncertain variables defined by Orlicz functions. Proyecciones, 40(2), 355-370.
- Freedman, A. R., Sember, J. J., & Raphael, M. (1978). Some Cesàro-type summability spaces. Proc. Lond. Math. Soc., s3-37(3), 508-520. https://doi.org/10.1112/plms/s3-37.3.508
- Kamthan, P. K., & Gupta, M. (1981). Sequence spaces and series. Lecture notes in pure and applied mathematics 65, New York: Marcel Dekker Inc.
- Kişi, Ö., & Ünal, H. K. (2019). Lacunary statistical convergence of complex uncertain sequence. Sigma J. Eng. & Nat. Sci., 10(3), 277-286.
- Liu, B. (2009). Some research problems in uncertainty theory. J. Uncertain Syst., 3(1), 3-10.
- Liu, B. (2015). Uncertainty theory. Berlin: Springer, vol. 4. https://doi.org/10.1007/978-3-662-44354-5
- Tripathy, B. C., & Mahanta, S. (2003). On a class of sequences related to the l_p space defined by Orlicz functions. Soochow J. Math., 29(4), 379-391.
- Tripathy, B. C., & Mahanta, S. (2004). On a class of generalized lacunary difference sequence spaces defined by Orlicz functions. Acta Math. Appl. Sin., 20(2), 231-238. https://doi.org/10.1007/s10255-004-0163-1
- Tripathy, B. C., & Nath, P. (2017). Statistical convergence of complex uncertain sequences. New Math. Nat. Comput., 13(2), 359-374.https://doi.org/10.1142/S1793005717500090
- You, C. (2009). On the convergence of uncertain sequences. Math Comput Model., 49(3-4), 482-487. https://doi.org/10.1016/j.mcm.2008.07.007
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Makaleler |
| Yazarlar | |
| Erken Görünüm Tarihi | 30 Ocak 2022 |
| Yayımlanma Tarihi | 31 Mart 2022 |
| Yayımlandığı Sayı | Yıl 2022 Sayı: 34 |
- Makale Dosyaları