Document Details
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Document Type |
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Article In Journal |
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Document Title |
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Some generalizations of the space b vp of p-bounded variation sequences Some generalizations of the space b vp of p-bounded variation sequences |
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Subject |
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Mthematics |
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Document Language |
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English |
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Abstract |
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The spaces bvp and bv∞ of sequences of p-bounded variation have recently been introduced by Başar and Altay [F. Başar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55 (1) (2003) 136–147], where 1≤p<∞. In the present paper, the sequence spaces bv(u,p) and bv∞(u,p) of non-absolute type have been defined and it has been proved that the spaces bv(u,p) and bv∞(u,p) are linearly isomorphic to the spaces ℓ(p) and ℓ∞(p) of Maddox, respectively. Besides this, the α-, β- and γ-duals of the spaces bv(u,p) and bv∞(u,p) have been computed and the basis of the space bv(u,p) has been constructed. The classes (bv(u,p):ℓ∞) and (bv(u,p):c) of infinite matrices have been characterized and the characterizations of some other classes have also been derived by means of a given basic lemma. The final section of the paper has been devoted to some consequences about the rotundity of the space bv(u,p). |
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ISSN |
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0362-546X |
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Journal Name |
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Nonlinear Analysis: Theory, Methods & Applications |
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Volume |
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68 |
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Issue Number |
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2 |
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Publishing Year |
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1429 AH
2008 AD |
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Article Type |
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Article |
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Added Date |
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Thursday, October 15, 2009 |
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Researchers
| محمد مرسلين | Mursaleen, M | Researcher | Doctorate | mursaleenm@gmail.com |
| F Başar | Başar, F | Researcher | Doctorate | fbasar@inonu.edu.tr |
| B Altay | Altay, B | Researcher | Doctorate | baltay@inonu.edu.tr |
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