Yazar "Şengül, Hacer" seçeneğine göre listele

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    Deferred statistical convergence and strongly deferred summable functions
    (Maltepe Üniversitesi, 2019) Et, Mikail; Baliarsingh, P.; Şengül, Hacer
    The main purpose of this paper is to introduce and investigate the concepts of deferred strong summability and deferred statistical convergence of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1,?). Some relations between deferred strong summability and deferred statistical convergence of real-valued functions which are measurable (in the Lebesgue sense) in the interval (1, ?) are also given.
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    Deferred statistical convergence of order ? in topological groups
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin
    In this paper, the concept of deferred statistical convergence of order ? is generalized to topological groups, and some inclusion relations between the set of all statistically convergent sequences of order ? in topological groups and the set of all deferred statistically convergent sequences of order ? in topological groups are given.
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    Lacunary A-statistical convergence and lacunary strong A-convergence sequences of order (?,?) with respect to a modulus
    (Amer Inst Physics, 2019) Şengül, Hacer; Et, Mikail; Cakalli, Hüseyin
    In this paper, the definitions of lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha,beta) are given. We study some connections between lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha,beta).
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    Lacunary a? statistical convergence and lacunary strong a? convergence of order (?, ?) with respect to a modulus
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin
    In this paper, the definitions of lacunary strong A?convergence of order (?, ?) with respect to a modulus and lacunary A?statistical convergence of order (?, ?) are given. We study some connections between lacunary strong A?convergence of order (?, ?) with respect to a modulus and lacunary A?statistical convergence of order (?, ?). Interesting results are obtained.
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    Lacunary A? statistical convergence and lacunary strong A? convergence of order ? with respect to a modulus
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Arıca, Zelal
    In this paper, the definitions of lacunary strong A?convergence of order ? with respect to a modulus and lacunary A?statistical convergence of order ? were given by adding ? to the definitions of lacunary strong A?convergence with respect to a modulus and lacunary A?statistical convergence when A = (aik) is an infinite matrix of complex numbers and 0 < ? ? 1. We study some connections between lacunary strong A?convergence of order ? with respect to a modulus and lacunary A?statistical convergence of order ?.
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    Lacunary d-statistical convergence and lacunary d-statistical boundedness in metric spaces
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail
    In this study, using a lacunary sequence we introduce the concepts of lacunary d?statistically convergent sequences and lacunary d?statistically bounded sequences in general metric spaces.
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    N ? ?(?, I)? ward continuity
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Çakallı, Hüseyin; Et, Mikail
    The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (?, ?) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (?, ?) is also investigated. Interesting results are obtained.
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    On I?deferred statistical convergence
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail; Işık, Mahmut
    The idea of I?convergence of real sequences was introduced by Kostyrko et al. [ Kostyrko, P., Sal´at, T. and Wilczy ´nski, ? W. I?convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686 ] and also independently by Nuray and Ruckle [ Nuray, F. and Ruckle, W. H. Generalized statistical convergence and convergence free spaces. J. Math. Anal. Appl. 245(2) (2000), 513–527 ]. In this paper we introduce I?deferred statistical convergence and strong I?deferred Cesaro convergence and investigate between ` their relationship.
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    On pointwise deferred statistical convergence of sequences of fuzzy mappings
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail
    In this study, we introduce the concepts of pointwise deferred statistical convergence and strongly deferred Cesaro ` pointwise summable sequences of fuzzy mappings. Some relations between pointwise deferred statistical convergence and strongly deferred Cesaro pointwise summable sequences of fuzzy mappings are given.
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    On wijsman (f, I) ? lacunary statistical convergence of order ?
    (Maltepe Üniversitesi, 2019) Şengül, Hacer; Et, Mikail; Çakallı, Hüseyin
    In this paper we introduce the concepts of Wijsman (f, I) ?lacunary statistical convergence of order ? and Wijsman strongly (f, I) ?lacunary statistical convergence of order ?, and investigated between their relationship.