Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
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Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces [PDF]
Journal of Mathematics, 2021 In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the ...
Ömer Kişi
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Arab Journal of Mathematical Sciences, 2014 In this paper, we define some new sequence spaces of lacunary convergent sequences derived by Nörlund-type (Riesz) mean, which shall be denoted by |N‾,pr,θ| and (N‾,pr,θ), and investigate some relations between the sequence space |N‾,pr,θ| with the ...
Metin Başarır, Şükran Konca
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Strongly Lacunary Ward Continuity in 2-Normed Spaces [PDF]
The Scientific World Journal, 2014 A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
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Invariant means and lacunary sequence spaces of order (α, β)
Demonstratio MathematicaIn this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications in Advanced Mathematical Sciences, 2023 In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]
Journal of Inequalities and Applications, 2017 Vinod K Bhardwaj
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Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
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Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions
Journal of Mathematics, 2021 Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
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