Onk-nearly uniform convex property in generalized Cesàro sequence spaces

Winate Sanhan, Suthep Suantai
2003 International Journal of Mathematics and Mathematical Sciences  
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.
doi:10.1155/s0161171203301267 fatcat:epz7d3cnmnbn5i3m3ekxuqbkpy