Results 11 to 20 of about 7,303 (247)

Rough statistical convergence on triple sequences [PDF]

open access: diamondProyecciones (Antofagasta), 2017
In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set.
Shyamal Debnath, N. Subramanian
openalex   +3 more sources

A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

open access: goldAxioms
In this paper, we introduce and study the concept of rough I–αβ–statistical convergence of order γ in neutrosophic normed spaces. This new mode of convergence combines the principles of rough convergence, statistical convergence with respect to an ideal,
Paul Sebastian Jenifer   +3 more
doaj   +2 more sources

Statistical and rough statistical convergence in an $S$-metric space

open access: diamondJournal of Classical Analysis
In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied.
Sukila Khatun, Amar Kumar Banerjee
  +5 more sources

Rough Statistical Convergence in L-Fuzzy Normed Spaces [PDF]

open access: goldInternational Journal of Advanced Natural Sciences and Engineering Researches, 2023
Abstract The present study introduces the concept of rough convergence and rough statistical convergence of a sequence in L-fuzzy normed spaces. Moreover, it defines the rough statistical limit points and rough statistical cluster points of a sequence in these spaces.
Aykut OR   +3 more
  +6 more sources

Statistical Convergence with Rough I3-Lacunary and Wijsman Rough I3-Statistical Convergence in 2-Normed Spaces

open access: goldInternational Journal of Analysis and Applications
In this paper, we have introduced the concept of the set of rough I3-lacunary limit points for triple sequences in 2-normed spaces. We have established statistical convergence requirements associated with this set. Furthermore, we have introduced the idea of rough I3-lacunary statistical convergence for triple sequences.
M. H. M. Rashid, Sameer A. Al-Subh
openalex   +3 more sources

On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
In this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even ...
Reena Antal   +2 more
doaj   +2 more sources

Rough statistical convergence and rough ideal convergence in random 2-normed spaces

open access: diamondFilomat
This study?s main goal is to define approximate statistical convergence in spaces with probabilistic norms. The idea of convergence in random 2-normed space is more generalized as a result of our demonstrations of some fundamental features and examples of convergence in linear spaces with norms.
M. H. M. Rashid
openalex   +2 more sources

SOME RESULTS ON ROUGH STATISTICAL φ-CONVERGENCE FOR DIFFERENCE DOUBLE SEQUENCES

open access: bronzeJournal of Mathematical Analysis, 2023
In this paper, we put forward rough statistical φ-convergence of difference sequences as a generalization of rough statistical convergence as well as statistical φ-convergence. We study some of its fundamental properties. We obtain some results for rough statistical φ-convergence for difference double sequences by introducing the rough statistical-φ ...
İsmail Demirci   +2 more
openalex   +3 more sources

Rough statistical convergence of sequences in a partial metric space [PDF]

open access: greenFacta Universitatis, Series: Mathematics and Informatics
In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space. We have defined the set of rough statistical limit points of a sequence in a partial metric space and proved that this set is closed and bounded. Finally,
Sukila Khatun, Amar Kumar Banerjee
  +6 more sources

Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences

open access: goldInternational Journal of Analysis and Applications, 2018
In this paper, we defined concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability and Wijsman statistical I− Cesàro summability by using the concept of ...
N. Subramanian, A. Esi
doaj   +5 more sources

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