Yazar "Karakas, Abdulkadir" seçeneğine göre listele

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    Almost statistical convergence of order ? of sequences of fuzzy numbers
    (Springer Verlag, 2016) Karakas, Abdulkadir; Altin, Yavuz; Altinok, Hifsi
    In this article, we introduce the concepts of almost ?-statistical convergence of order ? and strongly almost ?p-summability of order ? for sequences of fuzzy numbers. Also, we establish some relations between the almost ?-statistical convergence of order ? and strongly almost ?p-summability of order ? and we define w^??(F,f,p), where f is a modulus function and give some inclusion relations. © 2015, Springer-Verlag Berlin Heidelberg.
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    Generalized Statistical Convergence of order ? for Sequences of Fuzzy Numbers
    (Amer Inst Physics, 2018) Altinok, Hifsi; Karakas, Abdulkadir; Altin, Yavuz
    In the present paper, we introduce the concepts of Delta(m)-statistical convergence of order beta for sequences of fuzzy numbers and strongly Delta(m)-summable of order beta for sequences of fuzzy numbers by using a modulus function f and taking supremum on metric d for 0 < beta <= 1 and give some inclusion relations between them.
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    On some topological properties of a new type difference sequence spaces
    (Amer Inst Physics, 2015) Karakas, Abdulkadir; Altin, Yavuz; Et, Mikail
    We define the sequence spaces l(infinity) (Delta(p)), c (Delta(p)) and c(0) (Delta(p)), give some topological properties and inclusion relations of these sequence spaces.
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    ?pm-Statistical Convergence of Order ?
    (Amer Inst Physics, 2017) Karakas, Abdulkadir; Altin, Yavuz; Et, Mikail
    In this study using the generalized difference operator Delta(m), we generalize the concepts of statistical convergence sequences of order a and statistical Cauchy sequences of order alpha. It is shown that, Delta(m)(p)-statistically convergent sequences of order a and Delta(m)(p)-statistical Cauchy sequences of order a are equivalent.
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    Some new generalized difference of sequences for fuzzy numbers
    (Springer, 2023) Karakas, Abdulkadir
    In this paper, we examine and study Delta(v)(q,lambda)-statistical convergence of order mu of sequences of fuzzy numbers such that 0 < mu <= 1, strong Delta(v)(q,lambda p) -summability of order mu of sequences of fuzzy numbers such that 0 < mu <= 1, and construct some interesting examples. We also give relations between these concepts. Furthermore, some relations between the space w(lambda)(mu) [Delta(v)(q), F, phi, p] and S-lambda(mu) [Delta(v)(q), F] are examined. The modulus function f presents the containment connection.
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    Statistical convergence of new type difference sequences with Caputo fractional derivative
    (Amer Inst Mathematical Sciences-Aims, 2022) Karakas, Abdulkadir
    In this study, we discuss the idea of di fference operators Delta(a)(p), Delta((a))(p) (alpha is an element of R) and examine some properties of these operators. We also describe the concepts of ordered statistical convergence and lacunary statistical by using the Delta(a)(p)-difference operator. We examine some features of these sequence spaces and present some inclusion theorems. We obtain the Caputo fractional derivative in this work.