ℐ θ $$\mathcal{I}_{\theta }$$ -statistical convergence of order α in topological groups

2015 ◽  
pp. 141-148 ◽  
Author(s):  
Ekrem Savaş ◽  
Rahmet Savaş Eren
Keyword(s):  
Statistical Convergence ◽  
Topological Groups

scholarly journals Deferred statistical convergence of order α in topological groups

2019 ◽  
Author(s):  
Hacer Sengul ◽  
Mikail Et ◽  
Huseyin Cakalli
Keyword(s):  
Statistical Convergence ◽  
Topological Groups

Lacunary statistical convergence of order (α, β) in topological groups

2017 ◽  
Vol 26 (3) ◽  
pp. 339-344
Author(s):  
HACER SENGUL ◽  
◽  
MIKAIL ET ◽  
Keyword(s):  
Statistical Convergence ◽  
Topological Groups ◽  
Lacunary Statistical Convergence ◽  
Inclusion Relations ◽  
Convergent Sequences

In this paper, the concept of lacunary statistical convergence of order (α, β) is generalized to topological groups, and some inclusion relations between the set of all statistically convergent sequences of order (α, β) and the set of all lacunary statistically convergent sequences of order (α, β) are given.

Approximation in statistical sense to B -continuous functions by positive linear operators

2010 ◽  
Vol 47 (3) ◽  
pp. 289-298 ◽  
Author(s):  
Fadime Dirik ◽  
Oktay Duman ◽  
Kamil Demirci
Keyword(s):  
Compact Subset ◽  
Real Line ◽  
Statistical Convergence ◽  
Approximation Theorem ◽  
Continuous Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Statistical Approximation ◽  
Classical Version ◽  
Statistical Sense

In the present work, using the concept of A -statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B -continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

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