scholarly journals On generalized difference lacunary statistical convergence in a paranormed space

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Selma Altundağ
Keyword(s):  
Statistical Convergence ◽  
Paranormed Space ◽  
Lacunary Statistical Convergence

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

scholarly journals Sliding window convergence and lacunary statistical convergence for measurable functions via modulus function

2018 ◽  
Vol 36 (1) ◽  
pp. 161 ◽  
Author(s):  
Mohammad Mursaleen ◽  
Kuldip Raj
Keyword(s):  
Statistical Convergence ◽  
Sliding Window ◽  
Modulus Function ◽  
Convergence Criterion ◽  
Sequential Methods ◽  
Measurable Functions ◽  
Lacunary Statistical Convergence

In this paper we study the concepts of sliding window convergence for real valued measurable functions dened on [0,1) via modulus function. We also establish some inclusions and consistency theorems for sequential methods along with examples. Finally, we give a Cauchy convergence criterion.

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