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Orlicz Fonksiyonu Tarafından Belirlenen Karmaşık Belirsiz Üç İndisli Dizilerin Lacunary Yakınsaklığı Üzerine

Yıl 2022, , 750 - 756, 31.03.2022
https://doi.org/10.31590/ejosat.1085754

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.

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

On Lacunary Convergent Complex Uncertain Triple Sequences Determined by Orlicz Function

Yıl 2022, , 750 - 756, 31.03.2022
https://doi.org/10.31590/ejosat.1085754

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.

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
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Ömer Kişi 0000-0001-6844-3092

Erhan Güler 0000-0003-3264-6239

Yayımlanma Tarihi 31 Mart 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Kişi, Ö., & Güler, E. (2022). On Lacunary Convergent Complex Uncertain Triple Sequences Determined by Orlicz Function. Avrupa Bilim Ve Teknoloji Dergisi(34), 750-756. https://doi.org/10.31590/ejosat.1085754