On k -nearly uniform convex property in generalized Cesàro sequence spaces

Winate Sanhan and Suthep Suantai

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

We define a generalized Cesàro sequence space ces ( p ) , where p = ( p k ) 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 that ces ( p ) is k -nearly uniform convex ( k -NUC) for k ≥ 2 when lim n → ∞ inf p n > 1 . Moreover, we also obtain that the Cesàro sequence space ces p ( where 1 < p < ∞ ) is k -NUC, k R , NUC, and has a drop property.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:972053

DOI: 10.1155/S0161171203301267

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