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

Year 2022, Issue: 34, 750 - 756, 31.03.2022
https://doi.org/10.31590/ejosat.1085754

Abstract

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.

References

  • 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

Year 2022, Issue: 34, 750 - 756, 31.03.2022
https://doi.org/10.31590/ejosat.1085754

Abstract

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.

References

  • 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
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ömer Kişi 0000-0001-6844-3092

Erhan Güler 0000-0003-3264-6239

Early Pub Date January 30, 2022
Publication Date March 31, 2022
Published in Issue Year 2022 Issue: 34

Cite

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