Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences
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, 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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A lacunary sequence is an increasing integer sequence θ = (kr) such that k0 =0, kr−kr−1 →∞ as r →∞. A sequence x is called Sθ(∆)− convergent to L provided that for each ε > 0, limr(kr − kr−1) {the number of kr−1 < k ≤ kr : |∆xk−L| ≥ ε} = 0, where ∆xk = ∆xk− ∆xk+1. The purpose of this paper is to introduce the concept of ∆ − lacunary statistical convergence and ∆-lacunary strongly convergence an...
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ژورنال
عنوان ژورنال: ITM Web of Conferences
سال: 2018
ISSN: 2271-2097
DOI: 10.1051/itmconf/20182201052