WCS Coefficients in Orlicz Sequence Spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

WCS Coefficients in Orlicz Sequence Spaces

Authors:

Yan Yaqiang

Affiliation:

(1) Department of Mathematics, Suzhou University, Suzhou, 215006, P. R. China

Abstract:

We introduce some practical calculation of the weakly convergent sequence coefficients of Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For the N-function phgr

(u) of which the index function is monotonuous, the exact value WCS(l⁽⁾) of Orlicz sequence space l⁽⁾ with Luxemburg norm is available, i.e. WCS(l⁽⁾) = $frac{Phi^{-1}(1)}{Phi^{-1}(frac{1}{frac{1}{2}})}$ or $2^{1/C^{0}_{Phi}};$ WCS(l) of l with Orlicz norm has the exact value $2^{1/C^{0}_{Phi}};$ or estimation

$hbox{max}left{frac{2psi [Psi^{-1}(1)]}{Phi^{-1} { frac{1}{2} Phi (2 psi[ Psi^{-1}(1)])}}, frac{Phi^{-1} (B^0_{Psi} - 1}{Phi^{-1}(frac{B^0_Psi -1)}{2}}right} le WCS (I^{Phi}) le frac{2 Psi^{-1}(frac{1}{2})}{Psi^{-1}(1)}$

Keywords:

Orlicz space N-function index function normal structre weakly convergent sequence coefficient

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏