Characterizations of a Banach Space through the Strong Lacunary and the Lacunary Statistical Summabilities
نویسندگان
چکیده
منابع مشابه
Lacunary Statistical Convergence and Inclusion Properties between Lacunary Methods
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: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8071066