On certain generalized paranormed spaces
نویسندگان
چکیده
منابع مشابه
On Some New Paranormed Sequence Spaces
Abstract The sequence spaces c0 , c and `∞ have been recently introduced and studied by Mursaleen and Noman [On the spaces of λ− convergent and bounded sequences, Thai J. Math. 8(2)(2010),311-329]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and is to work the spaces c0(u, p), c(u, p) and `∞(u, p). Let μ denote any of the spaces c...
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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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Let P = (pk) be a bounded positive sequence and let A= (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P]((E)), which generalise almost all the well-known sequence spaces such as c0, c, lp , l∞, and wp . In this paper, topological duals of these paranormed sequence spaces are const...
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In this work, we introduce some new generalized sequence spaces related to the spaces l∞(p), c(p) and c0(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the α-, βand γ -duals of these spaces, and characterize certain matrix transformations on t...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2015
ISSN: 1029-242X
DOI: 10.1186/s13660-015-0565-z