scholarly journals On I-lacunary statistical convergence of order α of sequences of sets

Filomat ◽  
2017 ◽  
Vol 31 (8) ◽  
pp. 2403-2412 ◽  
Author(s):  
Hacer Şengül ◽  
Mikail Et
Keyword(s):  
Statistical Convergence ◽  
Lacunary Statistical Convergence ◽  
Real Anal ◽  
Free Spaces

The idea of I-convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P. ; Sal?t, T. and Wilczy?ski, W. I-convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686] and also independently by Nuray and Ruckle [Nuray, F. and Ruckle,W. H. Generalized statistical convergence and convergence free spaces, J. Math. Anal. Appl. 245(2) (2000), 513-527]. In this paper we introduce the concepts of Wijsman I-lacunary statistical convergence of order ? and Wijsman strongly I-lacunary statistical convergence of order ?, and investigated between their relationship.

scholarly journals On I-deferred statistical convergence of order α

Filomat ◽  
2019 ◽  
Vol 33 (9) ◽  
pp. 2833-2840
Author(s):  
Hacer Şengul ◽  
Mikail Et ◽  
Mahmut Işık
Keyword(s):  
Statistical Convergence ◽  
Real Anal ◽  
Free Spaces

The idea of I-convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P., Sal?t, T. and Wilczy?ski, W. I-convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686] and also independently by Nuray and Ruckle [Nuray, F. and Ruckle,W. H. Generalized statistical convergence and convergence free spaces. J. Math. Anal. Appl. 245(2) (2000), 513-527]. In this paper we introduce I-deferred statistical convergence of order ? and strong I-deferred Ces?ro convergence of order ? and investigated between their relationship.

scholarly journals Lacunary statistical convergence of double sequences of sets

2015 ◽  
Vol 20 (7) ◽  
pp. 2883-2888 ◽  
Author(s):  
Fatih Nuray ◽  
Uğur Ulusu ◽  
Erdinç Dündar
Keyword(s):  
Statistical Convergence ◽  
Double Sequences ◽  
Lacunary Statistical Convergence
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