EN
On $I-$Deferred Statistical Convergence in Topological Groups
Abstract
In this paper, the concepts of $I-$deferred statistical convergence of order $\alpha $ and $I-$deferred statistical convergence of order $\left( \alpha ,\beta \right) $ in topological groups were defined. Also some inclusion relations between $I-$statistical convergence of order $% \alpha $, $I-$deferred statistical convergence of order $\alpha $, $I-$% statistical convergence of order $\left( \alpha ,\beta \right) $ and $I-$% deferred statistical convergence of order $\left( \alpha ,\beta \right) $ in topological groups are given.
Keywords
References
- [1] R. P. Agnew, On deferred Cesàro means, Ann. of Math. (2) 33(3) (1932), 413-421.
- [2] H. Çakallı, Lacunary statistical convergence in topological groups, Indian J. Pure Appl.Math. 26(2) (1995), 113-119.
- [3] H. Çakallı, Upward and downward statistical continuities, Filomat 29(10) (2015), 2265-2273.
- [4] H. Çakallı, Statistical quasi-Cauchy sequences, Math. Comput. Modelling 54(5-6) (2011),1620-1624.
- [5] H. Çakallı, Statistical ward continuity, Appl. Math. Lett. 24(10) (2011), 1724-1728.
- [6] H. Çakallı, A new approach to statistically quasi Cauchy sequences, Maltepe Journal ofMathematics, 1(1) 2019, 1-8.
- [7] M. Çınar, M. Karaka¸s, and M. Et, On pointwise and uniform statistical convergence oforder alpha for sequences of functions, Fixed Point Theory Appl. 2013, 2013:33, 11 pp.
- [8] R. Çolak, Statistical convergence of order alpha, Modern Methods in Analysis and Its Applica-tions, New Delhi, India: Anamaya Pub, 2010: 121-129.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
October 30, 2019
Submission Date
October 11, 2019
Acceptance Date
October 23, 2019
Published in Issue
Year 2019 Volume: 1 Number: 2
APA
Şengül Kandemir, H. (2019). On $I-$Deferred Statistical Convergence in Topological Groups. Maltepe Journal of Mathematics, 1(2), 48-55. https://izlik.org/JA38UX38JL
AMA
1.Şengül Kandemir H. On $I-$Deferred Statistical Convergence in Topological Groups. Maltepe Journal of Mathematics. 2019;1(2):48-55. https://izlik.org/JA38UX38JL
Chicago
Şengül Kandemir, Hacer. 2019. “On $I-$Deferred Statistical Convergence in Topological Groups”. Maltepe Journal of Mathematics 1 (2): 48-55. https://izlik.org/JA38UX38JL.
EndNote
Şengül Kandemir H (October 1, 2019) On $I-$Deferred Statistical Convergence in Topological Groups. Maltepe Journal of Mathematics 1 2 48–55.
IEEE
[1]H. Şengül Kandemir, “On $I-$Deferred Statistical Convergence in Topological Groups”, Maltepe Journal of Mathematics, vol. 1, no. 2, pp. 48–55, Oct. 2019, [Online]. Available: https://izlik.org/JA38UX38JL
ISNAD
Şengül Kandemir, Hacer. “On $I-$Deferred Statistical Convergence in Topological Groups”. Maltepe Journal of Mathematics 1/2 (October 1, 2019): 48-55. https://izlik.org/JA38UX38JL.
JAMA
1.Şengül Kandemir H. On $I-$Deferred Statistical Convergence in Topological Groups. Maltepe Journal of Mathematics. 2019;1:48–55.
MLA
Şengül Kandemir, Hacer. “On $I-$Deferred Statistical Convergence in Topological Groups”. Maltepe Journal of Mathematics, vol. 1, no. 2, Oct. 2019, pp. 48-55, https://izlik.org/JA38UX38JL.
Vancouver
1.Hacer Şengül Kandemir. On $I-$Deferred Statistical Convergence in Topological Groups. Maltepe Journal of Mathematics [Internet]. 2019 Oct. 1;1(2):48-55. Available from: https://izlik.org/JA38UX38JL
