Onk-nearly uniform convex property in generalized Cesàro sequence spaces
2003 ◽
Vol 2003
(57)
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pp. 3599-3607
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We define a generalized Cesàro sequence spaceces(p), wherep=(pk)is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show thatces(p)isk-nearly uniform convex (k-NUC) fork≥2whenlimn→∞infpn>1. Moreover, we also obtain that the Cesàro sequence spacecesp(where 1<p<∞)isk-NUC,kR, NUC, and has a drop property.
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2001 ◽
Vol 26
(11)
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pp. 671-678
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2005 ◽
Vol 2005
(15)
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pp. 2441-2445
2003 ◽
Vol 10
(1)
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pp. 193-200
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1992 ◽
Vol 44
(2)
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pp. 298-307
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