On Deferred Statistical Convergence of Sequences of Sets in Metric Space

Volume: 3 Number: 1 May 26, 2016
  • M. Altınok
  • B. İnan
  • M. Küçükaslan
EN

On Deferred Statistical Convergence of Sequences of Sets in Metric Space

Abstract

In this paper mainly, Wijsman deferred statistical convergence of sequence of sets in an arbitrary metric space is defined and some basic theorems are given. Besides new results, some results in this paper are the generalization of the results given in [3], [15] and [18].

Keywords

References

  1. Agnew R. P., On Deferred Ces`aro Mean, Comm. Ann. of Math. 33, 413-421 (1932).
  2. Aubin J. P., Frankowska H., Set-Valued Analysis, Birkhauser, Basel , 133-155 (1986).
  3. Beer G., On the compactness theorem for sequences of closed sets, Math. Balkanica 16, 327-338 (2002).
  4. Buck R. C., The measure theoretic approch to density, Amer. J. Math., 68, 560-580 (1946).
  5. Fast H., Sur la convergece statistique, Colloq. Math. 2, 241-244 (1951).
  6. Fridy J.A., On statistical convergence, Analysis 5, 301-313 (1985).
  7. Fridy J.A., Miller H. I., A matrix characterization of statistical convergence, Analysis 11, 59-66 (1991).
  8. Fridy. J.A., Orhan C., Lacunary statistical summability, J. Math. Anal. Appl. 173(2), 497-504 (1993).

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Altınok This is me

B. İnan This is me

M. Küçükaslan This is me

Publication Date

May 26, 2016

Submission Date

May 26, 2016

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

APA
Altınok, M., İnan, B., & Küçükaslan, M. (2016). On Deferred Statistical Convergence of Sequences of Sets in Metric Space. Turkish Journal of Mathematics and Computer Science, 3(1), 1-9. https://izlik.org/JA47DG25UK
AMA
1.Altınok M, İnan B, Küçükaslan M. On Deferred Statistical Convergence of Sequences of Sets in Metric Space. TJMCS. 2016;3(1):1-9. https://izlik.org/JA47DG25UK
Chicago
Altınok, M., B. İnan, and M. Küçükaslan. 2016. “On Deferred Statistical Convergence of Sequences of Sets in Metric Space”. Turkish Journal of Mathematics and Computer Science 3 (1): 1-9. https://izlik.org/JA47DG25UK.
EndNote
Altınok M, İnan B, Küçükaslan M (May 1, 2016) On Deferred Statistical Convergence of Sequences of Sets in Metric Space. Turkish Journal of Mathematics and Computer Science 3 1 1–9.
IEEE
[1]M. Altınok, B. İnan, and M. Küçükaslan, “On Deferred Statistical Convergence of Sequences of Sets in Metric Space”, TJMCS, vol. 3, no. 1, pp. 1–9, May 2016, [Online]. Available: https://izlik.org/JA47DG25UK
ISNAD
Altınok, M. - İnan, B. - Küçükaslan, M. “On Deferred Statistical Convergence of Sequences of Sets in Metric Space”. Turkish Journal of Mathematics and Computer Science 3/1 (May 1, 2016): 1-9. https://izlik.org/JA47DG25UK.
JAMA
1.Altınok M, İnan B, Küçükaslan M. On Deferred Statistical Convergence of Sequences of Sets in Metric Space. TJMCS. 2016;3:1–9.
MLA
Altınok, M., et al. “On Deferred Statistical Convergence of Sequences of Sets in Metric Space”. Turkish Journal of Mathematics and Computer Science, vol. 3, no. 1, May 2016, pp. 1-9, https://izlik.org/JA47DG25UK.
Vancouver
1.M. Altınok, B. İnan, M. Küçükaslan. On Deferred Statistical Convergence of Sequences of Sets in Metric Space. TJMCS [Internet]. 2016 May 1;3(1):1-9. Available from: https://izlik.org/JA47DG25UK