Results 191 to 200 of about 7,576 (227)

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
Salih Aytar
exaly   +4 more sources

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
exaly   +2 more sources

Rough statistical convergence of a sequence of random variables in probability

Afrika Matematika, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanjoy Ghosal   +2 more
exaly   +3 more sources

On Rough Statistical Convergence of Complex Uncertain Sequences

New Mathematics and Natural Computation, 2021
Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. The main purpose of this paper is to introduce rough statistical convergence of complex uncertain sequences and study some convergence concepts namely rough statistical convergence in measure,
Shyamal Debnath, Bijoy Das
openaire   +1 more source

On rough I-statistical φ-convergence

2023
In this paper, we introduce the concept of rough I-statistical ?-convergence of real numbers as a generalization of rough statistical convergence as well as I-statistical ?-convergence. We study some of its fundamental properties. We obtain some results for rough I-statistical ?-convergence by introducing the rough I-statistical-? limit set.
Kı?şı?, Ömer, Gürdal, Mehmet
openaire   +2 more sources

Rough lacunary statistical convergence in neutrosophic normed spaces

Journal of Intelligent & Fuzzy Systems, 2023
In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space.
Vakeel A. Khan   +3 more
openaire   +1 more source

Lacunary Statistical Convergence of Rough Variables in Trust

Journal of Uncertain Systems, 2023
The goal of this paper is to present the notions of lacunary statistically convergent sequence, lacunary statistically Cauchy sequence for fuzzy variables in trust space and also give the lacunary statistical completeness for trust space.
openaire   +1 more source

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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