Research Article

$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS

Volume: 5 Number: 1 April 1, 2017
EN

$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS

Abstract

In this paper, we introduce the concepts of the Wijsman $I_2$- statistical convergence, Wijsman $I_2$-lacunary statistical convergence and Wijsman strongly $I_2$-lacunary convergence of double sequences of sets and investigate the relationship between them.

Keywords

References

  1. [1] J.-P. Aubin, H. Frankowska, Set-valued analysis, Birkhauser, Boston (1990).
  2. [2] M. Baronti, P. Papini, Convergence of sequences of sets, In methods of functional analysis in approximation theory, ISNM 76, Birkhauser, Basel (1986).
  3. [3] G. Beer, On convergence of closed sets in a metric space and distance functions, Bull. Aust. Math. Soc. 31 (1985), 421-432.
  4. [4] G. Beer, Wijsman convergence: A survey, Set-Valued Anal. 2 (1994), 77-94.
  5. [5] P. Das, E. Savas, S. Kr. Ghosal, On generalizations of certain summability methods using ideals, Appl. Math. Lett. 24(9) (2011), 1509-1514.
  6. [6] P. Das, P. Kostyrko, W. Wilczynski, P. Malik, I and I-convergence of double sequences, Math. Slovaca, 58(5) (2008), 605-620.
  7. [7] E. Dundar, B. Altay, I2-convergence and I2-Cauchy double sequences, Acta Mathematica Scientia 34B(2) (2014), 343-353.
  8. [8] H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

ERDİNÇ Dündar This is me
AFYON KOCATEPE UNIV
Türkiye

UĞUR Ulusu
AFYON KOCATEPE UNIV
Türkiye

BÜNYAMİN Aydın
Necmettin Erbakan University, Education Faculty, Konya, Turkey
Türkiye

Publication Date

April 1, 2017

Submission Date

February 14, 2016

Acceptance Date

July 23, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Dündar, E., Ulusu, U., & Aydın, B. (2017). $I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS. Konuralp Journal of Mathematics, 5(1), 1-10. https://izlik.org/JA82HW47JE
AMA
1.Dündar E, Ulusu U, Aydın B. $I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS. Konuralp J. Math. 2017;5(1):1-10. https://izlik.org/JA82HW47JE
Chicago
Dündar, ERDİNÇ, UĞUR Ulusu, and BÜNYAMİN Aydın. 2017. “$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS”. Konuralp Journal of Mathematics 5 (1): 1-10. https://izlik.org/JA82HW47JE.
EndNote
Dündar E, Ulusu U, Aydın B (April 1, 2017) $I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS. Konuralp Journal of Mathematics 5 1 1–10.
IEEE
[1]E. Dündar, U. Ulusu, and B. Aydın, “$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS”, Konuralp J. Math., vol. 5, no. 1, pp. 1–10, Apr. 2017, [Online]. Available: https://izlik.org/JA82HW47JE
ISNAD
Dündar, ERDİNÇ - Ulusu, UĞUR - Aydın, BÜNYAMİN. “$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 1-10. https://izlik.org/JA82HW47JE.
JAMA
1.Dündar E, Ulusu U, Aydın B. $I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS. Konuralp J. Math. 2017;5:1–10.
MLA
Dündar, ERDİNÇ, et al. “$I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 1-10, https://izlik.org/JA82HW47JE.
Vancouver
1.ERDİNÇ Dündar, UĞUR Ulusu, BÜNYAMİN Aydın. $I_2$-LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF SETS. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):1-10. Available from: https://izlik.org/JA82HW47JE
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