(A,φ)-lacunary statistical convergence of order α
نویسندگان
چکیده
منابع مشابه
On $I$-statistical and $I$-lacunary statistical convergence of order $alpha$
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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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 ...
متن کاملon $i$-statistical and $i$-lacunary statistical convergence of order $alpha$
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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In this paper our purpose is to extend some results known in the literature for ordinary difference (single) to difference double sequences of real numbers.Quite recently, Esi [1] defined the statistical analogue for double difference sequences x = (xk,l) as follows: A real double sequence x = (xk,l) is said to be P-statistically ∆− convergent to L provided that for each ε > 0 P − lim m,n 1 mn ...
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A lacunary sequence is an increasing integer sequence θ = {kr } such that kr − kr−1 → ∞ as r → ∞. A sequence x is called sθ-convergent to L provided that for each ε > 0, limr (1/(kr −kr−1)){the number of kr−1 < k ≤ kr : |xk−L| ≥ ε} = 0. In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.
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ژورنال
عنوان ژورنال: Filomat
سال: 2020
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil2002639s