Difference Sequence Spaces and Matrix Transformations
نویسندگان
چکیده
منابع مشابه
Some Sequence Spaces and Their Matrix Transformations
The most general linear operator to transform from new sequence space into another sequence space is actually given by an infinite matrix. In the present paper we represent some sequence spaces and give the characterization of (S (p), ) and (S (p), ).
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Let w, γ, γo, c, co and l∞ be the spaces of all, summable, summable to zero, convergent, null and bounded sequences respectively. The notion of statistical convergence of sequences was introduced by Fast [3], Schoenberg [12] and Buck [1] independently. Later on the idea was exploited from sequence space point of view and linked with summability by Fridy [4], S̆alát [11], Kolk [5], Rath and Tripa...
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In this study, I introduce some new double sequence spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] as the domain of four-dimensional generalized difference matrix [Formula: see text] in the spaces [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], respectively. I show that...
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the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...
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ژورنال
عنوان ژورنال: Journal of the Institute of Engineering
سال: 1970
ISSN: 1810-3383
DOI: 10.3126/jie.v7i1.2059