Research Article

Wijsman asymptotical I_2-statistically equivalent double set sequences of order η

Volume: 69 Number: 1 June 30, 2020
EN

Wijsman asymptotical I_2-statistically equivalent double set sequences of order η

Abstract

In this study, we present notions of Wijsman asymptotical I₂-statistically equivalence of order η, Wijsman asymptotical I₂-Cesàro equivalence of order η and Wijsman asymptotical strongly p-I₂-Cesàro equivalence of order η for double set sequences where 0<η≤1. Also, we investigate some properties of these notions and some relationships between them.

Keywords

References

  1. Pringsheim, A., Zur theorie der zweifach unendlichen Zahlenfolgen, Math. Ann., 53 (1900), 289--321.
  2. Mursaleen, M., Edely, O.H.H., Statistical convergence of double sequences, J. Math. Anal. Appl., 288 (2003), 223--231.
  3. Das, P., Kostyrko, P., Wilczyński, W., Malik, P., I and I^{∗}-convergence of double sequences, Math. Slovaca, 58(5) (2008), 605--620.
  4. Bhunia, S., Das, P., Pal, S.K., Restricting statistical convergence, Acta Mathematica Hungarica, 134(1-2) (2012), 153--161
  5. Çolak, R., Altın, Y., Statistical convergence of double sequences of order α, Journal of Function Spaces and Applications, 2013(Article ID 682823) (2013), 5 pages.
  6. Savaş, E., Double almost statistical convergence of order α, Advances in Difference Equations, 2013(62) (2013), 9 pages.
  7. Altın, Y., Çolak, R., Torgut, B., I₂(u)-convergence of double sequences of order (α,β), Georgian Mathematical Journal, 22(2) (2015), 153--158.
  8. Patterson, R.F., Rates of convergence for double sequences, Southeast Asian Bull. Math., 26(3) (2002), 469--478.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

February 27, 2020

Acceptance Date

April 24, 2020

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Ulusu, U., & Gülle, E. (2020). Wijsman asymptotical I_2-statistically equivalent double set sequences of order η. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 854-862. https://doi.org/10.31801/cfsuasmas.695309
AMA
1.Ulusu U, Gülle E. Wijsman asymptotical I_2-statistically equivalent double set sequences of order η. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):854-862. doi:10.31801/cfsuasmas.695309
Chicago
Ulusu, Uğur, and Esra Gülle. 2020. “Wijsman Asymptotical I_2-Statistically Equivalent Double Set Sequences of Order η”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 854-62. https://doi.org/10.31801/cfsuasmas.695309.
EndNote
Ulusu U, Gülle E (June 1, 2020) Wijsman asymptotical I_2-statistically equivalent double set sequences of order η. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 854–862.
IEEE
[1]U. Ulusu and E. Gülle, “Wijsman asymptotical I_2-statistically equivalent double set sequences of order η”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 854–862, June 2020, doi: 10.31801/cfsuasmas.695309.
ISNAD
Ulusu, Uğur - Gülle, Esra. “Wijsman Asymptotical I_2-Statistically Equivalent Double Set Sequences of Order η”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 854-862. https://doi.org/10.31801/cfsuasmas.695309.
JAMA
1.Ulusu U, Gülle E. Wijsman asymptotical I_2-statistically equivalent double set sequences of order η. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:854–862.
MLA
Ulusu, Uğur, and Esra Gülle. “Wijsman Asymptotical I_2-Statistically Equivalent Double Set Sequences of Order η”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 854-62, doi:10.31801/cfsuasmas.695309.
Vancouver
1.Uğur Ulusu, Esra Gülle. Wijsman asymptotical I_2-statistically equivalent double set sequences of order η. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):854-62. doi:10.31801/cfsuasmas.695309

Cited By

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

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.