Results 1 to 10 of about 3,814 (173)
Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence [PDF]
Journal of Inequalities and Applications, 2008 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.
Vatan Karakaya
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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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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 We generalize the lacunary statistical convergence by introducing the generalized difference operator Δνα of fractional order, where α is a proper fraction and ν=(νk) is any fixed sequence of nonzero real or complex numbers.
Ugur Kadak
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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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On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits [PDF]
Abstract and Applied Analysis, 2012 The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that both dominate and generate ...
Metin Başarır, Şükran Konca
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Some new spaces of lacunary f-statistical A-convergent sequences of order α [PDF]
, 2015 We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Ekrem Savaş, Stuti Borgohain
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Lacunary sequence spaces defined by Musielak-Orlicz function
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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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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