数学杂志2021,Vol.41Issue(6):489-494,6.
相适应于连续椭球覆盖的恒等逼近
APPROXIMATIONS OF THE IDENTITY ADAPTED TO CONTINUOUS ELLIPSOID COVER
摘要
Abstract
In this paper we develop some approximation of the identity results adapted to continuous multi-level ellipsoid cover.By using real-variable methods of harmonic analysis,we obtain two approximations of the identity results uniformly in some compact subset of Rn and in L1(Rn)norm,respectively.These results generalize the corresponding classical and anisotropic approximation of the identity results.关键词
恒等逼近/椭球覆盖/各向异性Key words
approximation of the identity/ellipsoid cover/anisotropy分类
数理科学引用本文复制引用
余安康,李宝德..相适应于连续椭球覆盖的恒等逼近[J].数学杂志,2021,41(6):489-494,6.基金项目
Supported by Xinjiang Training of Innovative Personnel Natural Science Foun-dation of China(2020D01C048)and National Natural Science Foundation of China(11861062). (2020D01C048)