Results 1 to 10 of about 316,721 (253)
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 [PDF]
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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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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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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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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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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A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]
AxiomsIn this paper, we introduce and study the concept of rough I–αβ–statistical convergence of order γ in neutrosophic normed spaces. This new mode of convergence combines the principles of rough convergence, statistical convergence with respect to an ideal,
Paul Sebastian Jenifer +3 more
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European Journal of Pure and Applied MathematicsThis paper investigates the conditions for equivalence between statistical convergence, ideal convergence, and standard convergence in G-metric spaces. Although the study of statistical and ideal convergence has been extensively developed in various settings, no prior research has explicitly explored the relationship between statistical convergence and
Manuharawati Manuharawati +2 more
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Rough statistical convergence and rough ideal convergence in random 2-normed spaces
FilomatThis study?s main goal is to define approximate statistical convergence in spaces with probabilistic norms. The idea of convergence in random 2-normed space is more generalized as a result of our demonstrations of some fundamental features and examples of convergence in linear spaces with norms.
M. H. M. Rashid
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