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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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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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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A Tauberian theorem for ideal statistical convergence [PDF]
Indagationes Mathematicae, 2019 15 pages, comments are ...
Marek Balcerzak, Paolo Leonetti
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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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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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On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context
Filomat, 2017 In this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense ofWijsman convergence and prove ...
Bipan Hazarika, Ayhan Eşi
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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 ...
M. H. M. Rashid
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n‐Normed Spaces [PDF]
Mathematical Methods in the Applied SciencesThe article explains and analyzes the conception of rough lacunary ideal statistical convergence on random n$$ n $$ ‐normed spaces for double sequences.
Reena Antal +8 more
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Ideal statistical convergence of sequence in function space over non-Archimedean fields [PDF]
AIP Conference Proceedings, 2022 R. Sakthipriya, K. Suja
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