EN
I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces
Abstract
In this paper, we introduce new concepts of I-statistical convergence and I-lacunary statistical convergence using weighted density via modulus functions. Also, we study the relationship between them and obtain some interesting results.
Keywords
References
- Balcerzak, M., Das, P., Filipczak, M. and Swaczyna, J., Generalized kinds of density and the associated ideals, Acta Math. Hungar. 147, (2015), 97--115.
- Bose, K., Das, P. and Kwela, A., Generating new ideals using weighted density via modulus functions, Indag. Math. 29(5), (2018), 1196--1209.
- Das, P., Savaş E. and Ghosal, S., On generalized of certain summability methods using ideals, Appl. Math. Lett. 26, (2011), 1509--1514.
- Fast, H., Sur la convergence statistique, Colloq. Math., 2(1951), 241--244.
- Fridy, J. A. and Orhan, C., Lacunary statistical convergence, Pacific J. Math. 160, (1993), 43--51.
- Gähler, S., 2-metrische Räume und ihre topologische struktur, Math. Nachr. 26, (1993), 115--148.
- Gürdal, M., On ideal convergent sequences in 2-normed spaces, Thai J. Math. 4(1), (2006), 85--91.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Ulas Yamanci
*
0000-0002-4709-0993
Türkiye
Publication Date
August 1, 2019
Submission Date
June 2, 2019
Acceptance Date
July 9, 2019
Published in Issue
Year 1970 Volume: 68 Number: 2
APA
Savaş, E., Yamanci, U., & Gürdal, M. (2019). I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 2324-2332. https://doi.org/10.31801/cfsuasmas.573396
AMA
1.Savaş E, Yamanci U, Gürdal M. I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):2324-2332. doi:10.31801/cfsuasmas.573396
Chicago
Savaş, Ekrem, Ulas Yamanci, and Mehmet Gürdal. 2019. “I-Lacunary Statistical Convergence of Weighted G via Modulus Functions in 2-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 2324-32. https://doi.org/10.31801/cfsuasmas.573396.
EndNote
Savaş E, Yamanci U, Gürdal M (August 1, 2019) I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 2324–2332.
IEEE
[1]E. Savaş, U. Yamanci, and M. Gürdal, “I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 2324–2332, Aug. 2019, doi: 10.31801/cfsuasmas.573396.
ISNAD
Savaş, Ekrem - Yamanci, Ulas - Gürdal, Mehmet. “I-Lacunary Statistical Convergence of Weighted G via Modulus Functions in 2-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 2324-2332. https://doi.org/10.31801/cfsuasmas.573396.
JAMA
1.Savaş E, Yamanci U, Gürdal M. I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:2324–2332.
MLA
Savaş, Ekrem, et al. “I-Lacunary Statistical Convergence of Weighted G via Modulus Functions in 2-Normed Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 2324-32, doi:10.31801/cfsuasmas.573396.
Vancouver
1.Ekrem Savaş, Ulas Yamanci, Mehmet Gürdal. I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):2324-32. doi:10.31801/cfsuasmas.573396
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