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When deviation happens between rough statistical convergence and rough weighted statistical convergence

Mathematica Slovaca, 2019
AbstractIn this paper we introduce rough weighted statistical limit set and weighted statistical cluster points set which are natural generalizations of rough statistical limit set and statistical cluster points set of double sequences respectively. Some new examples are constructed to ensure the deviation of basic results.
Sanjoy Ghosal, Avishek Ghosh
openaire   +1 more source

Rough Statistical Convergence

Numerical Functional Analysis and Optimization, 2008
In this work, using the concept of natural density, we introduce the notion of rough statistical convergence. We define the set of rough statistical limit points of a sequence and obtain two statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex. Finally, we examine the relations between the set of
openaire   +2 more sources

Rough statistical convergence for generalized difference sequences

2023
Summary: In this work, we introduce the rough statistical convergence for normed linear spaces with generalized difference sequences. We also define the set of \(r\)-statistical limit points for generalized difference sequences and discuss some topological properties of this set.
OR, AYKUT, KARABACAK, GÖKAY
openaire   +2 more sources

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