北京师范大学学报(自然科学版)2013,Vol.49Issue(4):347-350,4.
加权L2(Bd)空间中Jackson不等式的精确常数
AN EXACT CONSTANT IN JACKSON INEQUALITY IN WEIGHTED SPACE L2(Bd)
摘要
Abstract
Exact constant in Jackson inequality in the weighted space L2 (Bd,WBxμ (x)) was considered,where weight function WBk,μ (x) (x ∈ Bd) was related to reflection group.Exact constant:(K)(τ,n,r,d) (r≥1) was obtained in the following inequality:En-1 (f)kB,μ,2 ≤ (K)(τ,n,r,d)ωr(f,τ)wkBμ,2.关键词
Jackson不等式/精确常数/加权逼近Key words
Jackson inequality/ exact constant/ weighted approximation引用本文复制引用
谷懿,刘永平..加权L2(Bd)空间中Jackson不等式的精确常数[J].北京师范大学学报(自然科学版),2013,49(4):347-350,4.基金项目
国家自然科学基金资助项目(11071019) (11071019)
高等学校博士学科点专项科研基金资助项目 ()
北京市自然科学基金资助项目(1102011) (1102011)