Research Article
BibTex RIS Cite

Year 2026, Volume: 14 Issue: 1 , 169 - 180 , 30.04.2026
https://izlik.org/JA87JJ25XT

Abstract

References

  • [1] Debnath S., Sarma B. and Das B. C., Some generalized triple sequence spaces of real numbers, J. Nonlinear Anal. Optim. 6(1) (2015), 71-79.
  • [2] Dutta, A. J., Esi, A. and Tripathy, B. C., Statistically convergent triple sequence spaces defined by Orlicz function, J. Math. Anal. 4(2) (2013), 16-22.
  • [3] Esi, A., and Subramanian, N., Rough convergence of Bernstein fuzzy triple sequences, Transactions on Fuzzy Sets and Systems. 1(1) (2022), 88-105.
  • [4] Esi, A., Subramanian, N. and Esi, Ayten, On triple sequence space of Bernstein operator of rough I-convergence pre-Cauchy sequences. Proyecciones (Journal of Mathematics), 36(4), (2017) 567-587.
  • [5] Esi, A., Subramanian, N. and Ozdemir, M. K., Chlodowsky type (l;q)-Bernstein Stancu operator of rough fuzzy Borel summability of triple sequences, International Journal of Open Problems in Computer Science & Mathematics 15(1) (2022), 1-19.
  • [6] Esi. A., Subramanian, N. and Ozdemir, K., Chlodowsky type (l;q)-Bernstein Stancu operator of Korovkin-type approximation theorem of rough I-core of triple sequences, Journal of Mathematics and Statistics 18(1) (2022), 71-77.
  • [7] Esi, A., Subramanian, N. and Ozdemir, M. K., Chlodowsky type (l;q)-Bernstein Stancu operators of Pascal rough triple sequences, Journal of Mahani Mathematical Research Center 12(1) (2023), 289-310.
  • [8] Hazarika, B., Subramanian, N., and Esi, A., On rough weighted ideal convergence of triple sequence of Bernstein polynomials, Proceedings of the Jangjeon Mathematical Society Memories of the Jangjeon Mathematical Society 21(3) (2018), 497-506.
  • [9] Sahiner, A., Gurdal, M. and Duden, F. K., Triple sequences and their statistical convergence, Selcuk J. Appl. Math. 8(2) (2007), 49-55.
  • [10] Sahiner, A. and Tripathy, B. C., Some I related properties of triple sequences, Selcuk J. Appl. Math. 9(2) (2008), 9-18.
  • [11] Subramanian, N. and Esi, A., Rough variables of convergence, Sci. Stud. Res. Ser. Math. Inform. 27(2) (2017), 65-72.
  • [12] Subramanian, N. and Esi, A., On triple sequence space of Bernstein operator of c3 of rough l-statistical convergence in probability defined by Musielak-Orlicz function of p-metric, Electronic J. Math. Anal. Appl. 6(1) (2018), 198-203.
  • [13] Wilansky, A., Summability through functional analysis, Vol. 85, Notas de matem´atica, No. 91, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984.

The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$

Year 2026, Volume: 14 Issue: 1 , 169 - 180 , 30.04.2026
https://izlik.org/JA87JJ25XT

Abstract

In this article we introduce Tribonacci sequence spaces $S_{3}^{3}(T)$ derived by the domain of a newly defined regular Tribonacci matrix. We give some topological properties inclusion relation obtain the Schauder basis and determine the various duals of the new spaces. Finally, we give some geometric properties of the space $S_{3}^{3}(T)$.

References

  • [1] Debnath S., Sarma B. and Das B. C., Some generalized triple sequence spaces of real numbers, J. Nonlinear Anal. Optim. 6(1) (2015), 71-79.
  • [2] Dutta, A. J., Esi, A. and Tripathy, B. C., Statistically convergent triple sequence spaces defined by Orlicz function, J. Math. Anal. 4(2) (2013), 16-22.
  • [3] Esi, A., and Subramanian, N., Rough convergence of Bernstein fuzzy triple sequences, Transactions on Fuzzy Sets and Systems. 1(1) (2022), 88-105.
  • [4] Esi, A., Subramanian, N. and Esi, Ayten, On triple sequence space of Bernstein operator of rough I-convergence pre-Cauchy sequences. Proyecciones (Journal of Mathematics), 36(4), (2017) 567-587.
  • [5] Esi, A., Subramanian, N. and Ozdemir, M. K., Chlodowsky type (l;q)-Bernstein Stancu operator of rough fuzzy Borel summability of triple sequences, International Journal of Open Problems in Computer Science & Mathematics 15(1) (2022), 1-19.
  • [6] Esi. A., Subramanian, N. and Ozdemir, K., Chlodowsky type (l;q)-Bernstein Stancu operator of Korovkin-type approximation theorem of rough I-core of triple sequences, Journal of Mathematics and Statistics 18(1) (2022), 71-77.
  • [7] Esi, A., Subramanian, N. and Ozdemir, M. K., Chlodowsky type (l;q)-Bernstein Stancu operators of Pascal rough triple sequences, Journal of Mahani Mathematical Research Center 12(1) (2023), 289-310.
  • [8] Hazarika, B., Subramanian, N., and Esi, A., On rough weighted ideal convergence of triple sequence of Bernstein polynomials, Proceedings of the Jangjeon Mathematical Society Memories of the Jangjeon Mathematical Society 21(3) (2018), 497-506.
  • [9] Sahiner, A., Gurdal, M. and Duden, F. K., Triple sequences and their statistical convergence, Selcuk J. Appl. Math. 8(2) (2007), 49-55.
  • [10] Sahiner, A. and Tripathy, B. C., Some I related properties of triple sequences, Selcuk J. Appl. Math. 9(2) (2008), 9-18.
  • [11] Subramanian, N. and Esi, A., Rough variables of convergence, Sci. Stud. Res. Ser. Math. Inform. 27(2) (2017), 65-72.
  • [12] Subramanian, N. and Esi, A., On triple sequence space of Bernstein operator of c3 of rough l-statistical convergence in probability defined by Musielak-Orlicz function of p-metric, Electronic J. Math. Anal. Appl. 6(1) (2018), 198-203.
  • [13] Wilansky, A., Summability through functional analysis, Vol. 85, Notas de matem´atica, No. 91, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1984.
There are 13 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Research Article
Authors

Ayhan Esi

Nagarajan Subramanian 0000-0002-5895-673X

Mustafa Kemal Özdemir 0000-0001-6798-1868

Kaliappan Manivannan

Submission Date March 25, 2025
Acceptance Date February 12, 2026
Publication Date April 30, 2026
IZ https://izlik.org/JA87JJ25XT
Published in Issue Year 2026 Volume: 14 Issue: 1

Cite

APA Esi, A., Subramanian, N., Özdemir, M. K., & Manivannan, K. (2026). The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$. Konuralp Journal of Mathematics, 14(1), 169-180. https://izlik.org/JA87JJ25XT
AMA 1.Esi A, Subramanian N, Özdemir MK, Manivannan K. The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$. Konuralp J. Math. 2026;14(1):169-180. https://izlik.org/JA87JJ25XT
Chicago Esi, Ayhan, Nagarajan Subramanian, Mustafa Kemal Özdemir, and Kaliappan Manivannan. 2026. “The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$”. Konuralp Journal of Mathematics 14 (1): 169-80. https://izlik.org/JA87JJ25XT.
EndNote Esi A, Subramanian N, Özdemir MK, Manivannan K (April 1, 2026) The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$. Konuralp Journal of Mathematics 14 1 169–180.
IEEE [1]A. Esi, N. Subramanian, M. K. Özdemir, and K. Manivannan, “The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$”, Konuralp J. Math., vol. 14, no. 1, pp. 169–180, Apr. 2026, [Online]. Available: https://izlik.org/JA87JJ25XT
ISNAD Esi, Ayhan - Subramanian, Nagarajan - Özdemir, Mustafa Kemal - Manivannan, Kaliappan. “The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$”. Konuralp Journal of Mathematics 14/1 (April 1, 2026): 169-180. https://izlik.org/JA87JJ25XT.
JAMA 1.Esi A, Subramanian N, Özdemir MK, Manivannan K. The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$. Konuralp J. Math. 2026;14:169–180.
MLA Esi, Ayhan, et al. “The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$”. Konuralp Journal of Mathematics, vol. 14, no. 1, Apr. 2026, pp. 169-80, https://izlik.org/JA87JJ25XT.
Vancouver 1.Ayhan Esi, Nagarajan Subramanian, Mustafa Kemal Özdemir, Kaliappan Manivannan. The Domain of A Regular Tribonacci Matrix Defined by Triple Sequence Spaces of $S_{3}^{3}$. Konuralp J. Math. [Internet]. 2026 Apr. 1;14(1):169-80. Available from: https://izlik.org/JA87JJ25XT
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.