Cesàro Statistical Core of Complex Number Sequences
نویسندگان
چکیده
منابع مشابه
Cesàro Statistical Core of Complex Number Sequences
The concept of statistical convergence was first introduced by Fast [1] and further studied by Šalát [2], Fridy [3], and many others, and for double sequences it was introduced and studied by Mursaleen and Edely [4] and Móricz [5] separately in the same year. Many concepts related to the statistical convergence have been introduced and studied so far, for example, statistical limit point, stati...
متن کاملResearch Article Cesàro Statistical Core of Complex Number Sequences
The concept of statistical convergence was first introduced by Fast [1] and further studied by Šalát [2], Fridy [3], and many others, and for double sequences it was introduced and studied by Mursaleen and Edely [4] and Móricz [5] separately in the same year. Many concepts related to the statistical convergence have been introduced and studied so far, for example, statistical limit point, stati...
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In this paper we extend the notion of λ-statistical convergence to the (λ, μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ.
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In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
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Let ω be the space of all sequences, real or complex, and let l∞ and c, respectively, be the Banach spaces of bounded and convergent sequences x = (xn) with norm ‖x‖ = supk≥0 |xk|. Let σ be a mapping of the set of positive integers into itself. A continuous linear functional φ on l∞ is said to be an invariant mean or a σmean if and only if (i) φ(x) ≥ 0, when the sequence x = (xn) has xn ≥ 0 for...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2007
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2007/29869