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Original Articles

On generalized invariant statistical convergence of weight g

Pages 1699-1708 | Received 24 Mar 2019, Accepted 30 Jul 2019, Published online: 10 Aug 2019

References

  • Balcerzak, M., P. Das, M. Filipczak, and J. Swaczyna. 2015. Generalized kinds of density and the associated ideals. Acta Mathematica Hungarica 147 (1):97–115. doi:10.1007/s10474-015-0510-0.
  • Colak, R. 2010. Statistical convergence of order α, modern methods in analysis and its applications, 121–9. New Delhi, India: Anamaya Pub.
  • Colak, R., Y. Altin, and M. Et. 2014. λ-almost statistical convergence of order α. Annals of the Alexandru Ioan Cuza University - Mathematics 60:437–48. doi:10.2478/aicu-2013-0041.
  • Colak, R., and C. A. Bektas. 2011. λ-statistical convergence of order α. Acta Mathematica Scientia 31B (3):953–9.
  • Connor, J. 1998. The statistical and and strong p-Cesaro convergence of sequences. Analysis 8:207–12. doi:10.1524/anly.1988.8.12.47.
  • Fast, H. 1951. Sur la convergence statistique. Colloquium Mathematicum 2 (3-4):241–4. doi:10.4064/cm-2-3-4-241-244.
  • Fridy, J. A. 1985. On statistical convergence. Analysis 5 (4):301–13. doi:10.1524/anly.1985.5.4.301.
  • Liendler, L. 1965. Ŭber die verallgemeinerte de la Vallee-Poussinsche Summierbarkeit allgemeiner Orthogonalreihen, (German). Acta Mathematica Academiae Scientiarum Hungaricae 16:375–87.
  • Maddox, I. J. 1967. Spaces of strongly summable sequences. The Quarterly Journal of Mathematics 18 (1):345–55. doi:10.1093/qmath/18.1.345.
  • Maddox, I. J. 1986. Sequence spaces defined by a modulus. Mathematical Proceedings of the Cambridge Philosophical Society 100 (1):161–6. doi:10.1017/S0305004100065968.
  • Malkowsky, E., and E. Savaş. 2000. Some λ-sequence spaces defined by a modulus. Archivum Mathematicum 36:219–28.
  • Mohiuddine, S. A. 2008. Invariant mean and σ -statistical convergence. Journal of Orissa Mathematical Society 27 (1-2):37–44.
  • Mursaleen, M. 1983. On some new invariant matrix method of summability. Quarterly Journal of Mathematics 34:77–86.
  • Mursaleen, M. 2000. λ-statistical convergence. Mathematica Slovaca 50:111–5.
  • Nakano, H. 1951. Modular sequence spaces. Proceedings of the Japan Academy 27 (9):508–12. doi:10.3792/pja/1195571225.
  • Nuray, F., and E. Savaş. 1994. Invariant statistical convergence and A -invariantstatistical convergence. Indian Journal of Pure and Applied Mathematics 25 (3):267–274.
  • Ruckle, W. H. 1973. FK Spaces in which the sequence of coordinate vectors in bounded. Canadian Journal of Mathematics 25:973–8. doi:10.4153/CJM-1973-102-9.
  • Šalát, T. 1980. On statistically convergent sequences of real numbers. Mathematica Slovaca 30:139–50.
  • Savaş, E. 1999. On some generalized sequence spaces defined by a modulus. Indian Journal of Pure and Applied Mathematics 30 (5):459–64.
  • Savaş, E. 2000. Strong almost convergence and almost λ-statistical convergence. Hokkaido Mathematical Journal 29 (3):531–6.
  • Savaş, E., and R. Savaş. 2003. Some λ- sequence spaces defined by Orlicz functions. Indian Journal of Pure and Applied Mathematics 34 (12):1673–80.
  • Schaefer, P. 1972. Infinite matrices and invariant means. Proceedings of the American Mathematical Society 36 (1):104–10. doi:10.2307/2039044.
  • Schoenberg, I. J. 1959. The integrability of certain functions and related summability methods. American Mathematical Monthly 66 (5):361–75. doi:10.2307/2308747.

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