Results 251 to 260 of about 36,187 (288)

On Generalized Statistically Convergent Functions via Ideals

Applied Mathematics & Information Sciences, 2016
In this paper, we introduce the notions of [V, ?]-summability and ?-statistical convergence of function by taking a nonnegative real-valued Lebesque measurable function in the interval (1, ?) and introduce new notions, namely, [V, ? ] (I)- summability, and I?-statistical convergence of function.
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On lacunary statistical \(\phi \)-convergence for triple sequences of sets via ideals

2022
Summary: In the present paper, we introduce some new notions of Wijsman \({\mathcal{I}}\)-statistical convergence with the use of Orlicz function, lacunary sequence and triple sequences of sets, and obtain some analogous results from the new definitions point of views.
Demirci, Işil Açik, GÜRDAL, Mehmet
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ON GENERALIZED STATISTICAL CONVERGENCE OF ORDER ˜? VIA IDEAL WITH RESPECT TO MODULUS FUNCTION

In this paper, we define new notions of (f, I)-statistical convergence for triple sequences of order ? and strong (f, I)-Cesàro summability for triple sequences of order ?. Furthermore, we examine the relationships among the spaces. Additionally, we present the concepts of (f, I)-lacunary statistical convergence of order ?
Kişi, Ömer, Akbıyık, Rumeysa, Gürdal, Mehmet, Kişi, Ömer, Kişi, Ömer   +4 more
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On $${\lambda }$$-Ideal Statistical Convergence of Weighted h for Multiple Sequences

2020
The goal of this paper is to extend the recently introduced summability method of [21] and present the new notion, namely, \(\mathcal {I}_{\lambda }\)-double statistical convergence of weight h via ideal.
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An Investigation on µ-Deferred Triple Ideal Statistically Convergent Sequences in Credibility Space

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
The primary objective of this paper is to explore various forms of deferred convergence for triple sequences of fuzzy variables (FV), incorporating the concepts of ideal convergence and mu -density. We also establish a number of instances to illustrate our definitions.
Binod Chandra Tripathy, Ömer Kişi, Mehmet Gürdal   +2 more
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Some generalized statistical convergent sequence spaces of fuzzy numbers via ideals

Mathematical Sciences Letters, 2013
In this article we introduce the sequence spaces F c I(S) and F c I(S) 0 of fuzzy numbers defined by I-statistical convergence using a difference operator. We study some basic topological and algebraic properties of these spaces. We also investigate the relations related to this spaces and some of their properties viz.
Shyamal Debnath, Jayanta Debnath
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Double Lacunary Statistical Convergence of Weight $$\nu $$ via Ideal in Topological Groups

2020
In (Savas in Commun Math Appl 9(3):265–275, 2018 [34]), Savas has defined double statistical convergence of order \(\alpha \) in topological groups. In this paper, we study the concepts of \(\mathcal {I}\)-double statistical convergence of weight \(\nu \) and \(\mathcal {I_\theta }\)-double statistical convergence of weight \(\nu \).
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n‐Normed Spaces

Mathematical Methods in the Applied Sciences
ABSTRACTThe article explains and analyzes the conception of rough lacunary ideal statistical convergence on random ‐normed spaces for double sequences. The geometrical and topological results of rough lacunary ideal statistical limit points, rough lacunary ideal cluster points, and rough lacunary ideal boundedness are considered on these spaces ...
Reena Antal, Rachit Manchanda, Manjunatha R., Nilesh Bhosle, Jasgurpreet Singh Chohan, P. Mallikarjuna Rao, Umesh Bhardwaj, Rishabh Thakur, Mohamed Yusuf   +8 more
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Double ideal lacunary statistical convergence in topological groups

2020
In this paper, we introduce new notion, namely, I-la-cunary double statistical convergence in topological groups . We also investigate some inclusion relations between I-double statistical and I-lacunary double statistical convergence. © 2018 Advanced Studies in Contemporary Mathematics (Kyungshang). All rights reserved.
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Double Lacunary Statistical Convergence of Order alpha in Topological Groups via Ideal

2020
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 alpha, 0 < alpha
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