On (f, I) - Lacunary statistical convergence of Order α of sequences of sets
نویسندگان
چکیده
منابع مشابه
On I-lacunary Statistical Convergence of Order α for Sequences of Sets
In this paper, following a very recent and new approach of [1] and [2] we further generalize recently introduced summability methods in [11] and introduce new notions, namely, I-statistical convergence of order α and I-lacunary statistical convergence of order α, where 0 < α ≤ 1 for sequences of sets. We mainly study their relationship and also make some observations about these classes and in ...
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This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of order α, where 0 < α 6 1, I-statistically limit, and I-lacunary statistical convergence for sequences of sets. Let (X, ρ) be a metric space and θ be a lacunary sequence. For any non-empty closed subsets Ak, Bk ⊆ X such that d(x,Ak) > 0 and d(x,Bk) > 0 for each x ∈ X, we...
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in this paper, following a very recent and new approach, we further generalize recently introduced summability methods, namely, $i$-statistical convergence and $i$-lacunary statistical convergence (which extend the important summability methods, statistical convergence and lacunary statistical convergence using ideals of $mathbb{n}$) and introduce the notions of $i$-statis...
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2019
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v38i7.46259