Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces.
Agata Caserta +2 more
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Statistical convergence in vector lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The statistical convergence is defined for sequences with the asymptotic density on the natural numbers, in general. In this paper, we introduce the statistical convergence in vector lattices by using the finite additive measures on directed sets ...
A. Aydın, F. Temizsu
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New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences [PDF]
Axioms, 2018 In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
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On Weak Statistical Convergence [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences ...
Vinod K. Bhardwaj, Indu Bala
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Statistical Order Convergence and Statistically Relatively Uniform Convergence in Riesz Spaces [PDF]
Journal of Function Spaces, 2018 A new concept of statistically e-uniform Cauchy sequences is introduced to study statistical order convergence, statistically relatively uniform convergence, and norm statistical convergence in Riesz spaces.
Xuemei Xue, Jian Tao
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f-Statistical convergence on topological modules
Electronic Research Archive, 2022 The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function.
Francisco Javier García-Pacheco +1 more
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SOME REMARKS ON ROUGH STATISTICAL \(\Lambda\)-CONVERGENCE OF ORDER \(\alpha\)
Ural Mathematical Journal, 2021 The main purpose of this work is to define Rough Statistical \(\Lambda\)-Convergence of order \(\alpha ...
Reena Antal +2 more
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Lacunary Arithmetic Statistical Convergence [PDF]
National Academy Science Letters, 2020 A lacunary sequence is an increasing integer sequence $ =(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_ $ and study some inclusion properties between the two spaces ...
Taja Yaying, Bipan Hazarika
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Statistical Riesz and Nörlund convergence for sequences of fuzzy numbers
Journal of Amasya University the Institute of Sciences and Technology, 2023 Nuray and Savaş proposed statistical convergence of fuzzy number sequences. Afterward, Tripathy and Baruah presented Riesz and Nörlund convergence for sequences of fuzzy numbers.
Samira Jalali +2 more
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Rough statistical convergence of double sequences in intuitionistic fuzzy normed spaces
Journal of New Results in Science, 2022 This paper proposes rough convergence and rough statistical convergence of a double sequence in intuitionistic fuzzy normed spaces. It then defines the rough statistical limit points and rough statistical cluster points of a double sequence in these ...
Aykut Or, Ahmet Özcan
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