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Lacunary statistical convergence in topological groups

, 1995
A sequence \((x(k))\) in a topological group \(X\) is called statistically convergent to an element \(l\) of \(X\) if for each neighbourhood \(U\) of 0 \(\lim_{m \to \infty} m^{-1} |\{k \leq m : x(k) - l \notin U\} |= 0\) where the vertical bars indicate the number of elements in the enclosed set. This concept was first given by \textit{H.
CAKALLI, H
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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.
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Remark on lacunary statistical convergence of fuzzy numbers

Fuzzy Sets and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joong Sung Kwon, Hong Tae Shim
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Orlicz-lacunary convergent double sequences and their applications to statistical convergence

2022
Summary: In this article, we introduce and study Orlicz lacunary convergent double sequences over \(n\)-normed spaces. We define the notion of \(g_2\)-statistical convergence in double sequence spaces. We study some topological and algebraic properties of newly formed sequence spaces. Some inclusion relations are also establish in this paper.
Raj, Kuldip, Sharma, Charu, Jasrotia, Swati   +2 more
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On the Lacunary (A, φ)-Statistical Convergence of Double Sequences

Ukrainian Mathematical Journal, 2018
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On lacunary weak statistical convergence of orderα

Communications in Statistics - Theory and Methods, 2020
Sinan Ercan, Yavuz Altin, Cigdem A Bektaş   +2 more
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Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces

Mathematical and Computer Modelling, 2011
Pradip Debnath
exaly  

Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018
S A Mohiuddine
exaly  

Lacunary strong A-convergence with respect to a sequence of modulus functions

Applied Mathematics and Computation, 2004
Tunay Bilgin
exaly  

On lacunary statistical convergence of difference sequences

In this paper, the S theta ( increment ) and N theta ( increment ) summabilities are used along with the notion of weakly unconditionally Cauchy series (in brief wuC series) to characterize a Banach space. We examine these two kinds of summabilities which are regular methods and we recall some features.
Kişi, Ömer, Gurdal, Mehmet, Kişi, Ömer   +2 more
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