EN
On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales
Abstract
The aim of this paper is to present new notions, namely, statistical convergence and lacunary statistical convergence and strong lacunary summability of weight on time scales. Furthermore, we investigate the relationships of these concepts and give some results.
Keywords
References
- [1] Y. Altin, H. Koyunbakan and E. Yilmaz, Uniform statistical convergence on time scales, J. Appl. Math., 2014 (2014), 1–6.
- [2] Y. Altin, B.N. Er and E. Yilmaz, Dl -Statistical boundedness on time scales, Communications in Statistics-Theory and Methods, 50(3) (2021), 738–746.
- [3] M. Balcerzak, P. Das, M. Filipczak and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar., 147(1) (2015), 97–115.
- [4] M. Bohner and A. Peterson, Dynamic equations on time scales: An introduction with applications, Birkh¨auser, Boston, 2001.
- [5] D. Borwein, Linear functionals with strong Ces´aro Summability, J. Lond. Math. Soc., 40 (1965), 628–634.
- [6] A. Cabada and D.R. Vivero, Expression of the Lebesgue D-integral on time scales as a usual Lebesgue integral: Application to the calculus of D-antiderivatives, Math. Comput. Model., 43(1-2) (2006), 194–207.
- [7] J.S. Connor, The statistical and strong p-Ces`aro convergence of sequences, Analysis, 8 (1988), 47–63.
- [8] H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241–244.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 15, 2022
Submission Date
August 18, 2021
Acceptance Date
November 18, 2021
Published in Issue
Year 2022 Volume: 10 Number: 1
APA
Sözbir, B., & Altundağ, S. (2022). On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp Journal of Mathematics, 10(1), 87-91. https://izlik.org/JA66JW22GP
AMA
1.Sözbir B, Altundağ S. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. 2022;10(1):87-91. https://izlik.org/JA66JW22GP
Chicago
Sözbir, Bayram, and Selma Altundağ. 2022. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics 10 (1): 87-91. https://izlik.org/JA66JW22GP.
EndNote
Sözbir B, Altundağ S (April 1, 2022) On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp Journal of Mathematics 10 1 87–91.
IEEE
[1]B. Sözbir and S. Altundağ, “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”, Konuralp J. Math., vol. 10, no. 1, pp. 87–91, Apr. 2022, [Online]. Available: https://izlik.org/JA66JW22GP
ISNAD
Sözbir, Bayram - Altundağ, Selma. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 87-91. https://izlik.org/JA66JW22GP.
JAMA
1.Sözbir B, Altundağ S. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. 2022;10:87–91.
MLA
Sözbir, Bayram, and Selma Altundağ. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 87-91, https://izlik.org/JA66JW22GP.
Vancouver
1.Bayram Sözbir, Selma Altundağ. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):87-91. Available from: https://izlik.org/JA66JW22GP
