Research Article

I-lacunary statistical convergence of weighted g via modulus functions in 2-normed spaces

Volume: 68 Number: 2 August 1, 2019
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

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  2. Bose, K., Das, P. and Kwela, A., Generating new ideals using weighted density via modulus functions, Indag. Math. 29(5), (2018), 1196--1209.
  3. Das, P., Savaş E. and Ghosal, S., On generalized of certain summability methods using ideals, Appl. Math. Lett. 26, (2011), 1509--1514.
  4. Fast, H., Sur la convergence statistique, Colloq. Math., 2(1951), 241--244.
  5. Fridy, J. A. and Orhan, C., Lacunary statistical convergence, Pacific J. Math. 160, (1993), 43--51.
  6. Gähler, S., 2-metrische Räume und ihre topologische struktur, Math. Nachr. 26, (1993), 115--148.
  7. Gürdal, M., On ideal convergent sequences in 2-normed spaces, Thai J. Math. 4(1), (2006), 85--91.
  8. Gürdal, M. and Açık, I., On I-Cauchy sequences in 2-normed spaces, Math. Inequal. Appl. 2(1), (2008), 349--354.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

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

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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