Results 1 to 10 of about 250 (174)
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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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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Density by moduli and Wijsman lacunary statistical convergence of sequences of sets [PDF]
Journal of Inequalities and Applications, 2017 The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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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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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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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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Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +2 more
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Lacunary I-invariant convergence
Cumhuriyet Science Journal, 2020 In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
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