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On $${\lambda }$$-Ideal Statistical Convergence of Weighted h for Multiple Sequences
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.
Ekrem Savaș
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Double Lacunary Statistical Convergence of Weight $$\nu $$ via Ideal in Topological Groups
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 \(\nu \).
Ekrem Savaș
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On Generalized Statistical and Ideal Convergence of Metric-Valued Sequences
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Pratulananda Das, Ekrem Savaș
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Lacunary statistical convergence of rough triple sequence via ideals
In this paper, we have introduced the notion of the lacunary [Formula: see text]-statistical convergence of triple sequences for rough variables. In addition, we have defined lacunary [Formula: see text]-statistical Cauchy sequence of rough variables in trust space and given the lacunary [Formula: see text]-statistical completeness for trust space ...
Mehmet Gürdal, Emel Kaya, Ekrem Savaș
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In this paper, we introduce and investigate novel notions of generalized difference statistical convergence of order [Formula: see text] ([Formula: see text]) within the framework of neutrosophic [Formula: see text]-normed linear spaces.
Ömer Kişi +2 more
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On generalized statistical convergence of double sequences via ideals
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Cemal Belen, Mustafa Yıldırım
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LEBESGUE DENSITY AND STATISTICAL CONVERGENCE
Real Analysis Exchange, 2021The paper presents a generalization of the density point’s notion to the ideal-convergence framework. For an ideal I⊆P(ℕ) (with Fin⊆I), Lebesgue measurable set A⊆ℝ we introduce a definition of a density point of A with respect to I; we prove that the ...
Marek Bienias, S. Gła̧b
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A generalized statistical convergence via ideals in 2-normed spaces
[Abstract Not Available]
K Ömer
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On lacunary statistical \(\phi \)-convergence for triple sequences of sets via ideals
2022Summary: 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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