References
- Bhardwaj, V. K., and I. Bala. 2007. On weak statistical convergence. 2007. doi:10.1155/2007/38530.
- Bhunia, S., P. Das, and S. K. Pal. 2012. Restricting statistical convergence. Acta Mathematica Hungarica 134 (1-2):153–61. doi:10.1007/s10474-011-0122-2.
- Connor, J., M. Ganiche, and V. Kadets. 2000. A characterization of banach spaces with seperable duals via weak statistical convergence. Journal of Mathematical Analysis and Applications. 244 (1):251. doi:10.1006/jmaa.2000.6725.
- Çolak, R. 2010. Statistical convergence of order α, In: Modern methods in analysis and its applications. M. Mursaleen (Ed.), pp. 121–129, Anamaya Pub. New Delhi, India.
- Das, G., and S. K. Mishra. 1983. Banach limits and lacunary strong almost convergence. Journal of the Orissa Mathematical Society 2 :61–70.
- Et, M., and H. Şengül. 2014. Some cesàro-type summability spaces of order α and lacunary statistical convergence of order α. Filomat 28 (8):1593–602. doi:10.2298/FIL1408593E.
- Et, M., and H. Şengül. 2015. On pointwise lacunary statistical convergence of order α of sequences of function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 85 (2):253–8. doi:10.1007/s40010-015-0199-z.
- Et, M., and H. Şengül. 2016. On (Δm,I)-lacunary statistical convergence of order α. Journal of Mathematical Analysis 7 (5):78–84.
- Fast, H. 1951. Sur la convergence statistique. Colloquium Mathematicum 2 (3-4):241–4. doi:10.4064/cm-2-3-4-241-244.
- Freedman, A. R., J. J. Sember, and M. Raphale. 1978. Some ces àro-type summability spaces. Proceedings of the London Mathematical Society 37 (3):508–20. doi:10.1112/plms/s3-37.3.508.
- Fridy, J. A., and C. Orhan. 1993. Lacunary statistical convergence. Pacific Journal of Mathematics 160 (1):43–51. doi:10.2140/pjm.1993.160.43.
- Fridy, J. A., and C. Orhan. 1993. Lacunary statistical summability. Journal of Mathematical Analysis and Applications. 173 (2):497–504. doi:10.1006/jmaa.1993.1082.
- Fridy, J. 1985. On statistical convergence. Analysis 5 (4):301–13.
- Gadjiev, A. D., and C. Orhan. 2002. Some approximation theorems via statistical convergence. Rocky Mountain Journal of Mathematics 32 (1):129–38. doi:10.1216/rmjm/1030539612.
- Kadets, V., A. Leonov, and C. Orhan. 2010. Weak statistical convergence and weak filter convergence for unbounded sequences. Journal of Mathematical Analysis and Applications. 371 (2):414–24. doi:10.1016/j.jmaa.2010.05.031.
- Karakus, S. 2007. Statistical convergence on probabilistic normed spaces. Mathematical Communications 12 (1):11–23. doi:10.1155/2007/14737.
- Karlsen, K. H. 2006. Notes on weak convergence. University of Oslo, Norway.
- Kolk, E. 1991. The statistical convergence in banach spaces. Acta et Comment. Univ. Tartu 928:41–52.
- Meenakshi, S. M. S., and V. Kumar. 2014. Weak statistical convergence defined by de la Vallée-Poussin mean, bull. Calcutta Mathematical Society 106 (3):215–24.
- Mohiuddine, S. A., and M. Aiyub. 2012. Lacunary statistical convergence in random 2-normed spaces. Applied Mathematics & Information Sciences. 6 (3):581–5.
- Mursaleen, M., and S. A. Mohiuddine. 2009. On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space. The Journal of Computational and Applied Mathematics. 233 (2):142–9. doi:10.1016/j.cam.2009.07.005.
- Nuray, F. 2011. Lacunary weak statistical convergence. Mathematica Bohemica 136 (3):259–68.
- Rath, D., and B. C. Tripathy. 1994. On statistically convergent and statistically convergent and statistically cauchy sequences. Indian Journal of Pure and Applied Mathematics 25 (4):381–6.
- Steinhaus, H. 1951. Sur la convergence ordinaire et la convergence asymptotique. Colloquium Mathematicum 2:73–4.
- Šalăt, T. 1980. On statistically convergent sequences of real numbers. Math. Slovaca 30 :139–50.
- Şengül, H., and M. Et. 2014. On lacunary statistical convergence of order α∗. Acta Mathematica Scientia 34 (2):473–82.
- Şengül, H., and M. Et. 2018. On (λ,I)-statistical convergence of order α of sequences of function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 88 (2):181–6. doi:10.1007/s40010-017-0414-1.
- Şengül, H. 2017. Some cesàro-type summability spaces defined by a modulus function of order (α,β). Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat 66 (2):80–90.
- Zygmund, A. 1979. Trigonometric series. Cambridge University Press, Cambridge UK.