Results 21 to 30 of about 1,546,174 (193)
Lacunary statistical convergence and inclusion properties between lacunary methods
International Journal of Mathematics and Mathematical Sciences, 2000 A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of kr ...
Jinlu Li
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Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence
Journal of Inequalities and Applications, 2007 We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
Karakaya Vatan
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Strongly Lacunary I?-Convergence and Strongly Lacunary I?-Cauchy Sequence [PDF]
In this paper, we defined the concepts of lacunary I?-convergence and strongly lacunary I?-convergence. We investigated the relations between strongly lacunary I-convergence and strongly lacunary I?-convergence. Also, we defined the concept of strongly lacunary I?-Cauchy sequence and investigated the relations between strongly lacunary I-Cauchy ...
Pancaroğlu Akın, Nimet Pancaro?lu +1 more
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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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Fuzzy real valued lacunary I-convergent sequences
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika
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Lacunary sequence spaces defined by Musielak-Orlicz function [PDF]
Le Matematiche, 2013 In this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces.
Kuldip Raj, Sunil K. Sharma
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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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Lacunary -Convergence and Lacunary -Cauchy Sequence [PDF]
, 2023 Yapılan bu çalışmada, öncelikle, lacunary -yakınsaklık kavramı tanımlandı ve lacunary -yakınsaklık kavramı ile lacunary -yakınsaklık kavramı arasındaki ilişkiler incelendi.
Akın, Nimet +2 more
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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-Convergent Sequences [PDF]
Kyungpook mathematical journal, 2012 Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra +2 more
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