Results 11 to 20 of about 311,740 (279)
FilomatThis article introduces the novel concept of rough I-statistical convergence of order ? in gradual normed linear spaces (GNLS). The paper presents noteworthy findings utilizing the Ir,?
Ekrem Savaș +2 more
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Double Lacunary Statistical Convergence of Order \(\alpha\) in Topological Groups via Ideal
, 2018 WOS: 000454846900002 Recently, I-lacunary double statistical convergence in topological groups is presented by Savas [31]. In this paper, we extend the concepts of I-double statistical convergence and I-double lacunary statistical convergence to the concepts of I-double statistical convergence and I-double lacunary statistical convergence of order ...
Ekrem Savaș
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On $A$-statistical convergence and $A$-statistical Cauchy via ideal
Karpatsʹkì Matematičnì Publìkacìï, 2022 In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
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Applications of the statistical convergence and of the ideals in integration
International Conference on Contemporary Academic Research, 2023 In this paper we relativize the concept of statistical Pettis Integration and we propose on typeof Pettis integration in concept of ideal convergence. We obtain some properties of ideal Pettis integrationwhich are well known for the statistical Pettis integration on Banach space.
Anita Caushi
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Generalized Double Statistical Convergence Sequences on Ideals in Neutrosophic Normed Spaces
Neutrosophic Systems with Applications, 2023 In this present research, having view in the Neutrosophic norm (u, v, w), which we presented I2-lacunary statistical convergence and I2-lacunary convergence strongly, looked into interactions between them, and made a few findings regarding the respective categories.
M. Jeyaraman +2 more
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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 [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences.
Adem Kılıçman, Stuti Borgohain
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ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I₂-statistical ...
Ömer Kı̇şı̇
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ON GENERALIZATIONS OF WEAK STATISTICAL CONVERGENCE VIA IDEALS [PDF]
International Journal of Pure and Apllied Mathematics, 2015 Statistical convergence was introduced by Fast [5] in the mid of last century as a generalization of the ordinary convergence of a sequence. He used the concept of natural density of subsets of N, the set of positive integers. The natural density of a setK ⊂ N, is denoted by δ(K) and is defined by δ(K) = limn 1 n ∑n k=1 χK(k) provided the limit exists.
Meenakshi Chawla +2 more
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On relation between statistical ideal and ideal generated by a modulus function [PDF]
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 Ideal on an arbitrary non-empty set $\Omega$ it's a non-empty family of subset $\mathfrak{I}$ of the set $\Omega$ which satisfies the following axioms: $\Omega \notin \mathfrak{I}$, if $A, B \in \mathfrak{I}$, then $A \cup B \in \mathfrak{I}$, if $A \in \
D. Seliutin
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On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal
Journal of Inequalities and Applications, 2021 The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
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