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相适应于连续椭球覆盖的恒等逼近

余安康 李宝德

数学杂志2021,Vol.41Issue(6):489-494,6.
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

余安康 1李宝德1

作者信息

  • 1. 新疆大学数学与系统科学学院,新疆乌鲁木齐830046
  • 折叠

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)

数学杂志

OACSTPCD

0255-7797

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