期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203301267
出版社：Hindawi Publishing Corporation
摘要：We define a generalized Cesàro sequence space ces(p),
where p=(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 that ces(p) is
k-nearly uniform convex (k-NUC) for k≥2 when limn→∞infpn>1. Moreover, we also obtain
that the Cesàro sequence space cesp(where 1<p<∞) is k-NUC, kR, NUC, and has a drop property.
