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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Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces.
Saeed Sarabadan, Sorayya Talebi
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Statistical and Ideal Convergences in Topology
Mathematics, 2023 The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
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A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE
Проблемы анализа, 2022 In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
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Ideal statistical convergence and ideal statistical Cauchy sequences in two normed spaces over non archimedean fields [PDF]
AIP Conference Proceedings, 2020 Let K be a complete, locally compact, non-trivially valued non-archimedean field. In this paper, Ideal- Statistical Convergence and Ideal Statistical Cauchy Sequences are defined and investigated in two normed spaces over ultra metric fields.
K. Suja, S. Sangeetha
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Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
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Generalized s r I -statistical convergence in intuitionistic fuzzy normed linear space [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I -statistical ...
Nabanita Konwar, Pradip Debnath
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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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Dynamic Load Balancing Strategy Based on Process Optimization in SDN [PDF]
Jisuanji gongcheng, 2023 To address the issue of control plane load imbalance in Software Defined Network(SDN), where static deployment strategies for multiple controllers cannot adapt to dynamic changes in network traffic, a dynamic load balancing strategy based on process ...
Xiangju LIU, Ben ZHAO, Xianjin FANG, Yangyang XU
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On ideal convergence of double sequences in probabilistic normed spaces [PDF]
, 2011 The notion of ideal convergence is a generalization of statistical convergence wich has been intensively investigated in last few years. For an admisible ideal f in NxN, the aim of the present paper is to introduce the concepts of f-convergence and f ...
Kumar, Vijay +1 more
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