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Year 2021, Volume: 9 Issue: 2, 268 - 273, 15.10.2021

Abstract

References

  • [1] Baoding, L., Inequalities and Convergence Concepts of Fuzzy and Rough Variables , Fuzzy Optimization and Decision Making, Springer, 2003.
  • [2] Baoding, L., Theory and Practice of Uncertain Programming, Verlag, Springer, 2002.
  • [3] Fridy, J. A., On Statistical Convergence, Oldenbourg Wissebschaftsverlag, 1985.
  • [4] Fast, H, Sur la Convergence Statistique , Colloquium mathematicae, 1951.
  • [5] Pawlak, Z., International journal of computer & information sciences , Springer, 1982.
  • [6] Baoding, L., Theory and Practice of Uncertain Programming , Springer, 2009.
  • [7] Fridy, J. A., On Statistical Convergence, Oldenbourg Wissebschaftsverlag, 1985.
  • [8] Maddox, I. J., Inclusions Between FK Spaces and Kuttner’s Theorem, Cambridge University Press, 1987.
  • [9] Schoenberg, I.J., The Integrability of Certain Functions and Related Summability Methods, Taylor & Francis, 1959.
  • [10] Fridy, J. A., Statistical Limit Points, Proceedings of the American mathematical society, 1993.
  • [11] Fridy, J. A. and Orhan, C., Lacunary Statistical Convergence, Pacific Journal of Mathematics, 1993.
  • [12] ˇ Sal´at, T., On Statistically Convergent Sequences of Real Numbers, Mathematical Institute of the Slovak Academy of Sciences, 1980.
  • [13] Savas¸, E. and Nuray, F., On sigma-statistically Convergence and Lacunary sigma-statistically Convergence, Mathematical Institute of the Slovak Academy of Sciences, 1993.
  • [14] Slowinski, R. and Vanderpooten, D., A Generalized Definition of Rough Approximations Based on Similarity, IEEE Transactions on Knowledge and Data Engineering, 2000.
  • [15] Mursaleen, M., Statistical Convergence; Summability of Sequences, Mathematical Institute of the Slovak Academy of Sciences, 2000.

Statistical Convergence of Rough Variable

Year 2021, Volume: 9 Issue: 2, 268 - 273, 15.10.2021

Abstract

In this paper, we present the concept of statisticallyconvergent sequences for rough variables. Furthermore, the relation between convergence statistically in trust and converges $\lambda$-statistically in trust is given. Also, some properties of statistically convergent sequences are discussed. In addition, we introduce statistically Cauchy sequence in rough spaces.

References

  • [1] Baoding, L., Inequalities and Convergence Concepts of Fuzzy and Rough Variables , Fuzzy Optimization and Decision Making, Springer, 2003.
  • [2] Baoding, L., Theory and Practice of Uncertain Programming, Verlag, Springer, 2002.
  • [3] Fridy, J. A., On Statistical Convergence, Oldenbourg Wissebschaftsverlag, 1985.
  • [4] Fast, H, Sur la Convergence Statistique , Colloquium mathematicae, 1951.
  • [5] Pawlak, Z., International journal of computer & information sciences , Springer, 1982.
  • [6] Baoding, L., Theory and Practice of Uncertain Programming , Springer, 2009.
  • [7] Fridy, J. A., On Statistical Convergence, Oldenbourg Wissebschaftsverlag, 1985.
  • [8] Maddox, I. J., Inclusions Between FK Spaces and Kuttner’s Theorem, Cambridge University Press, 1987.
  • [9] Schoenberg, I.J., The Integrability of Certain Functions and Related Summability Methods, Taylor & Francis, 1959.
  • [10] Fridy, J. A., Statistical Limit Points, Proceedings of the American mathematical society, 1993.
  • [11] Fridy, J. A. and Orhan, C., Lacunary Statistical Convergence, Pacific Journal of Mathematics, 1993.
  • [12] ˇ Sal´at, T., On Statistically Convergent Sequences of Real Numbers, Mathematical Institute of the Slovak Academy of Sciences, 1980.
  • [13] Savas¸, E. and Nuray, F., On sigma-statistically Convergence and Lacunary sigma-statistically Convergence, Mathematical Institute of the Slovak Academy of Sciences, 1993.
  • [14] Slowinski, R. and Vanderpooten, D., A Generalized Definition of Rough Approximations Based on Similarity, IEEE Transactions on Knowledge and Data Engineering, 2000.
  • [15] Mursaleen, M., Statistical Convergence; Summability of Sequences, Mathematical Institute of the Slovak Academy of Sciences, 2000.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Burak Avşar

Ekrem Savaş

Publication Date October 15, 2021
Submission Date August 4, 2021
Acceptance Date September 20, 2021
Published in Issue Year 2021 Volume: 9 Issue: 2

Cite

APA Avşar, B., & Savaş, E. (2021). Statistical Convergence of Rough Variable. Konuralp Journal of Mathematics, 9(2), 268-273.
AMA Avşar B, Savaş E. Statistical Convergence of Rough Variable. Konuralp J. Math. October 2021;9(2):268-273.
Chicago Avşar, Burak, and Ekrem Savaş. “Statistical Convergence of Rough Variable”. Konuralp Journal of Mathematics 9, no. 2 (October 2021): 268-73.
EndNote Avşar B, Savaş E (October 1, 2021) Statistical Convergence of Rough Variable. Konuralp Journal of Mathematics 9 2 268–273.
IEEE B. Avşar and E. Savaş, “Statistical Convergence of Rough Variable”, Konuralp J. Math., vol. 9, no. 2, pp. 268–273, 2021.
ISNAD Avşar, Burak - Savaş, Ekrem. “Statistical Convergence of Rough Variable”. Konuralp Journal of Mathematics 9/2 (October 2021), 268-273.
JAMA Avşar B, Savaş E. Statistical Convergence of Rough Variable. Konuralp J. Math. 2021;9:268–273.
MLA Avşar, Burak and Ekrem Savaş. “Statistical Convergence of Rough Variable”. Konuralp Journal of Mathematics, vol. 9, no. 2, 2021, pp. 268-73.
Vancouver Avşar B, Savaş E. Statistical Convergence of Rough Variable. Konuralp J. Math. 2021;9(2):268-73.
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