Rearrangement invariance and relations among measures of smoothness

被引：0
|
作者：
Z. Ditzian
机构：
[1] University of Alberta,Department of Mathematical and Statistical Sciences
来源：
Acta Mathematica Hungarica | 2012年 / 135卷
关键词：
moduli of smoothness; best approximation; sharp Marchaud inequality; sharp Jackson inequality; 41A50; 41A17; 41A63; 26D99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Relations between ωr(f,t)B and ωr+1(f,t)B of the sharp Marchaud and sharp lower estimate-type are shown to be satisfied for some Banach spaces of functions that are not rearrangement invariant. Corresponding results relating the rate of best approximation with ωr(f,t)B for those spaces are also given.
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页码：270 / 285
页数：15
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