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On Some New Paranormed Sequence Spaces and Their Topological Properties
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نویسنده
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Duyar Osman
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منبع
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journal of new results in science - 2014 - شماره : 6 - صفحه:32 -43
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چکیده
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In this study, we define new paranormed se- quence spaces c0(u, v; p, ĝ) and c(u, v; p, ĝ) by combining a gen- eralized weighted mean and a generalized difference operatorb = b(r, s, t). furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces. finally, we charac- terize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, .c, .c∞}.
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کلیدواژه
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Matrix domain of a sequence space ,paranormed sequence spaces ,weighted mean matrix ,Matrix transformations ,Schauder basis ,α− and β− du- als.
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آدرس
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Anatolian High School, Turkey
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Authors
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