EN
Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces
Abstract
The aim of this article is to investigate triple lacunary $\Delta $ -statistically convergent and triple lacunary $\Delta $-statistically Cauchy sequences in a neutrosophic normed space (NNS). Also, we present their feature utilizing triple lacunary density and derive the relationship between these notions.
Keywords
References
- [1] F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math., 24(3) (2005), 287–297.
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- [3] M. Kirisci, N. S¸ims¸ek, Neutrosophic metric spaces, Math. Sci., 14 (2020), 241–248.
- [4] M. Kirisci, N. S¸ims¸ek, Neutrosophic normed spaces and statistical convergence, J. Anal., 28 (2020), 1059–1073.
- [5] M. Kirisci, N. S¸ims¸ek, M. Akyi˘git, Fixed point results for a new metric space, Math. Methods Appl. Sci., 44(9) (2020), 7416–7422.
- [6] O¨ . Kis¸i, Lacunary statistical convergence of sequences in neutrosophic normed spaces, 4th International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Istanbul, 2020, 345–354.
- [7] O¨ . Kis¸i, Ideal convergence of sequences in neutrosophic normed spaces, J. Intell. Fuzzy Syst., 41(2) (2021), 2581–2590.
- [8] V.A. Khan, M.D. Khan, M. Ahmad, Some new type of lacunary statistically convergent sequences in neutrosophic normed space, Neutrosophic Sets Syst., 42 (2021), 239–252.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 15, 2022
Submission Date
November 15, 2021
Acceptance Date
January 3, 2022
Published in Issue
Year 2022 Volume: 10 Number: 1
APA
Kişi, Ö., & Gürdal, V. (2022). Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp Journal of Mathematics, 10(1), 127-133. https://izlik.org/JA65NF48SH
AMA
1.Kişi Ö, Gürdal V. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. 2022;10(1):127-133. https://izlik.org/JA65NF48SH
Chicago
Kişi, Ömer, and Verda Gürdal. 2022. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics 10 (1): 127-33. https://izlik.org/JA65NF48SH.
EndNote
Kişi Ö, Gürdal V (April 1, 2022) Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp Journal of Mathematics 10 1 127–133.
IEEE
[1]Ö. Kişi and V. Gürdal, “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”, Konuralp J. Math., vol. 10, no. 1, pp. 127–133, Apr. 2022, [Online]. Available: https://izlik.org/JA65NF48SH
ISNAD
Kişi, Ömer - Gürdal, Verda. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 127-133. https://izlik.org/JA65NF48SH.
JAMA
1.Kişi Ö, Gürdal V. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. 2022;10:127–133.
MLA
Kişi, Ömer, and Verda Gürdal. “Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 127-33, https://izlik.org/JA65NF48SH.
Vancouver
1.Ömer Kişi, Verda Gürdal. Triple Lacunary $\Delta $-Statistical Convergence in Neutrosophic Normed Spaces. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):127-33. Available from: https://izlik.org/JA65NF48SH
