Research Article

Weighted Lacunary I-Statistical Convergence

Volume: 7 Number: 1 March 31, 2017
EN TR

Weighted Lacunary I-Statistical Convergence

Abstract

In this paper, we defne the concepts of weighted lacunary -statistical convergence or S ( ) R,θ ( ) I
-convergence and[ ] R, pr ,θ I-summability, and investigate some inclusion relations

Keywords

References

  1. Altundağ S, Sözbir B, 2015. Weighted I-statistical convergence and its application to Korovkin type approximation theorem. International Journal of Mathematics Science and Engineering Applications, 9 (2): 63-76.
  2. Başarır M, Konca Ş, 2014. On some spaces of lacunary convergent sequences derived by Nörlund-type mean and weighted lacunary statistical convergence. Arab Journal of Mathematics and Science, 20 (2): 250-263.
  3. Das P, Savaş E, Ghosal K, 2011. On generalizations of certain summability methods using ideals. Applied Mathematics Letters, 24: 1509-1514.
  4. Fast H, 1951. Sur la convergence statistique. Colloquium Mathematicum, 2 (3–4): 241–244.
  5. Fridy JA, Orhan C, 1993. Lacunary statistical convergence. Pacific Journal of Mathematics, 160:43-51.
  6. Hazarika B, Savaş E, 2011. Some I-convergent lambda-summable difference sequence spaces of fuzzy real numbers defined by a sequence of Orlicz function. Mathematical and Computer Modelling, 54: 2986–2998.
  7. Korovkin PP, 1960. Linear Operators and Approximation Theory, Hindustan Publishing Corporation, Delhi.
  8. Kostyrko P, Salat T, Wilczynski W, 2000–2001. I-convergence. Real Analysis Exchange, 26 (2): 669–686.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

March 31, 2017

Submission Date

April 13, 2016

Acceptance Date

July 18, 2016

Published in Issue

Year 2017 Volume: 7 Number: 1

APA
Konca, Ş. (2017). Weighted Lacunary I-Statistical Convergence. Journal of the Institute of Science and Technology, 7(1), 267-277. https://izlik.org/JA48FJ54SU
AMA
1.Konca Ş. Weighted Lacunary I-Statistical Convergence. J. Inst. Sci. and Tech. 2017;7(1):267-277. https://izlik.org/JA48FJ54SU
Chicago
Konca, Şükran. 2017. “Weighted Lacunary I-Statistical Convergence”. Journal of the Institute of Science and Technology 7 (1): 267-77. https://izlik.org/JA48FJ54SU.
EndNote
Konca Ş (March 1, 2017) Weighted Lacunary I-Statistical Convergence. Journal of the Institute of Science and Technology 7 1 267–277.
IEEE
[1]Ş. Konca, “Weighted Lacunary I-Statistical Convergence”, J. Inst. Sci. and Tech., vol. 7, no. 1, pp. 267–277, Mar. 2017, [Online]. Available: https://izlik.org/JA48FJ54SU
ISNAD
Konca, Şükran. “Weighted Lacunary I-Statistical Convergence”. Journal of the Institute of Science and Technology 7/1 (March 1, 2017): 267-277. https://izlik.org/JA48FJ54SU.
JAMA
1.Konca Ş. Weighted Lacunary I-Statistical Convergence. J. Inst. Sci. and Tech. 2017;7:267–277.
MLA
Konca, Şükran. “Weighted Lacunary I-Statistical Convergence”. Journal of the Institute of Science and Technology, vol. 7, no. 1, Mar. 2017, pp. 267-7, https://izlik.org/JA48FJ54SU.
Vancouver
1.Şükran Konca. Weighted Lacunary I-Statistical Convergence. J. Inst. Sci. and Tech. [Internet]. 2017 Mar. 1;7(1):267-7. Available from: https://izlik.org/JA48FJ54SU