Results 21 to 30 of about 250 (174)
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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On Sθ-summability in neutrosophic soft normed linear spaces [PDF]
Neutrosophic Sets and Systems, 2023 For any lacunary sequence θ = (ks), the aim of the present paper is to define Sθ-convergence, Sθ-Cauchy and Sθ-completeness via neutrosophic soft norm. We study certain properties of these notions and give an important characterization of Sθ-convergence ...
Inayat Rasool Ganaie +2 more
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Double sequence spaces characterized by lacunary sequences
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savaş, Ekrem, Patterson, Richard F.
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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order
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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On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath +2 more
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Lacunary Statistical Convergence of Sequences of Real-Valued Functions
Journal of Mathematics, 2013 We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence.
A. Gökhan
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Lacunary sequences and permutations
, 2013 arXiv admin note: text overlap with arXiv:1311 ...
Aistleitner, Christoph +2 more
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Riesz Lacunary Sequence Spaces of Fractional Difference Operator
Kragujevac Journal of Mathematics, 2022 In this paper, we intend to make new approach to introduce and study some fractional difference sequence spaces by Riesz mean associated with infinite matrix and a sequence of modulus functions over n -normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored and some inclusion relations ...
Raj, Kuldip +2 more
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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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On Triple Difference Sequences of Real Numbers in Neutrosophic Normed Spaces
Communications in Advanced Mathematical Sciences, 2022 The aim of this article is to investigate triple $\Delta $-statistical convergent sequences in a neutrosophic normed space (NNS). Also, we examine the notions of $\Delta $-statistical limit points and $\Delta $-statistical cluster points and prove their ...
Verda Gürdal, Ömer Kişi
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