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    Lacunary statistical convergence of double sequences and some inclusion results in n-normed spaces
    (2013) Hazarika, Bipan; Savaş, Ekrem
    In this paper, we introduce the concept of lacunary statistical convergence of double sequences in n-normed spaces. Some inclusion relations between the sets of statistically convergent and lacunary statistically convergent cases of double sequences are established. In addition, we also define lacunary statistical Cauchy double sequences and prove that this notion is equivalent to the lacunary statistical convergence of double sequences. © 2013 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
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    Lambda-statistical convergence in n-normed spaces
    (Ovidius Univ Press, 2013) Hazarika, Bipan; Savaş, Ekrem
    In this paper, we introduce the concept of lambda-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and lambda-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, lambda)-summability in n-normed spaces.
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    Some I-convergent lambda-summable difference sequence spaces of fuzzy real numbers defined by a sequence of Orlicz functions
    (2011) Hazarika, Bipan; Savaş, Ekrem
    In this paper we introduce certain new sequence spaces of fuzzy numbers defined by I-convergence using sequences of Orlicz functions and a difference operator of order m. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces. © 2011 Elsevier Ltd.
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    (?, ?)-Statistical convergence of double sequences in n-normed spaces
    (2012) Hazarika, Bipan; Savaş, Ekrem
    In this paper, we introduce the concept of (?, ?)-statistical convergence in n-normed spaces, where ? = (?r) and ? = (?s) be two non-decreasing sequences of positive real numbers, each tending to ? and such that ?r+1 ? ?r + 1, ?1 = 1; ?s+1 ? ?s + 1, ?1 = 1. Some inclusion relations between the sets of statistically convergent and (?, ?)-statistically convergent double sequences are established. We find its relation to statistical convergence, (C, 1, 1)-summability and strong (V, ?, ?)-summability in n-normed spaces. © 2012 Università del Salento.
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    λ-statistical convergence in n-normed spaces
    (2013) Hazarika, Bipan; Savaş, Ekrem
    In this paper, we introduce the concept of ?-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and ?-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, ?)-summability in n-normed spaces.