Statistically Limit and Statistically Continuous Functions
DOI:
https://doi.org/10.29304/jqcm.2023.15.2.1244Keywords:
Natural density, Statistically convergent, Statistically limit functions, Statistically continuous functions.Abstract
In this paper, statistical convergence will be investigated. Then it sheds light on the study of some important concepts, characteristics and results of the previous study. In addition, we introduced a definition in limit and continuity which is the statistical limit and statistical continuous functions.
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References
[1] T. M. Apostol, "Mathematical Analysis", Second edition. 1974.
[2] Fast, Henry. "Sur la convergence statistique." In Colloquium mathematicae, 2, 3-4(1951) 241-244.
[3] Freedman, Allen, and John Sember. "Densities and summability." Pacific Journal of Mathematics 95, 2 (1981) 293-305.
[4] Fridy, John A. "On statistical convergence." Analysis 5, 4 (1985) 301-314.
[5] Karakus, S., K. Demirci, and O. Duman. "Statistical convergence on intuitionistic fuzzy normed spaces." Chaos, Solitons & Fractals 35, 4 (2008) 763-769.
[6] Karakus, Sevda. "Statistical convergence on probalistic normed spaces." Mathematical communications 12,1 (2007) 11-23.
[7] Kostyrko, P., M. Mačaj, T. Šalát, and O. Strauch. "On statistical limit points." Proceedings of the American Mathematical Society 129, 9 (2001) 2647-2654.
[8] Maddox, I. J. "Statistical convergence in a locally convex space." In Mathematical Proceedings of the Cambridge Philosophical Society, 104, 1 (1988) 141-145.
[9] Tripathy, B. C. "On statistically convergent sequences." Bulletin of the Calcutta Mathematical Society 90, 4 (1998) 259-262.
[10] Šalát, Tibor. "On statistically convergent sequences of real numbers." Mathematica slovaca 30, 2 (1980) 139-150.
[11] Steinhaus, Hugo. "Sur la convergence ordinaire et la convergence asymptotique." In Colloq. math, 2, 1 (1951) 73-74.
[12] Tabib, Khdiga K. The topology of statistical convergence. The University of Texas at El Paso, Master's Thesis, 2012.
[2] Fast, Henry. "Sur la convergence statistique." In Colloquium mathematicae, 2, 3-4(1951) 241-244.
[3] Freedman, Allen, and John Sember. "Densities and summability." Pacific Journal of Mathematics 95, 2 (1981) 293-305.
[4] Fridy, John A. "On statistical convergence." Analysis 5, 4 (1985) 301-314.
[5] Karakus, S., K. Demirci, and O. Duman. "Statistical convergence on intuitionistic fuzzy normed spaces." Chaos, Solitons & Fractals 35, 4 (2008) 763-769.
[6] Karakus, Sevda. "Statistical convergence on probalistic normed spaces." Mathematical communications 12,1 (2007) 11-23.
[7] Kostyrko, P., M. Mačaj, T. Šalát, and O. Strauch. "On statistical limit points." Proceedings of the American Mathematical Society 129, 9 (2001) 2647-2654.
[8] Maddox, I. J. "Statistical convergence in a locally convex space." In Mathematical Proceedings of the Cambridge Philosophical Society, 104, 1 (1988) 141-145.
[9] Tripathy, B. C. "On statistically convergent sequences." Bulletin of the Calcutta Mathematical Society 90, 4 (1998) 259-262.
[10] Šalát, Tibor. "On statistically convergent sequences of real numbers." Mathematica slovaca 30, 2 (1980) 139-150.
[11] Steinhaus, Hugo. "Sur la convergence ordinaire et la convergence asymptotique." In Colloq. math, 2, 1 (1951) 73-74.
[12] Tabib, Khdiga K. The topology of statistical convergence. The University of Texas at El Paso, Master's Thesis, 2012.
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Published
2023-09-25
How to Cite
Mohammed, O. A., & Shaakir, L. K. (2023). Statistically Limit and Statistically Continuous Functions. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(2), Math Page 8–13. https://doi.org/10.29304/jqcm.2023.15.2.1244
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Math Articles
