On Some New Paranormed Sequence Spaces and Their Topological Properties

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Journal of New Results in Science
Volume:3 Issue:6
On Some New Paranormed Sequence Spaces and Their Topological Properties

On Some New Paranormed Sequence Spaces and Their Topological Properties

Authors : Osman Duyar

Pages : 32-43

View : 21 | Download : 11

Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :In this study, we define new paranormed sequence spaces c0insert ignore into journalissuearticles values(u, v; p, G); and cinsert ignore into journalissuearticles values(u, v; p, G); by combining a generalized weighted mean and a generalized difference operatorB = Binsert ignore into journalissuearticles values(r, s, t);. Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces. Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µinsert ignore into journalissuearticles values(q); for µ ∈ {c, ,∞}
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