某些周期函数类的 N 宽度

doi:10.13371/j.cnki.chin.q.j.m.2021.04.005

数学季刊 ›› 2021, Vol. 36 ›› Issue (4): 390-394.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.005

某些周期函数类的 N 宽度

College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China; Center of Applied Mathematical Science, Inner Mongolia Normal University, Hohhot 010022, China

收稿日期:2021-07-01 出版日期:2021-12-30 发布日期:2021-12-30
作者简介: WANG Jia-wei (1996-), female, native of Hohhot, Inner Mongolia, postgraduate student of Inner Mongolia Normal University, engages in function approximation theory; WU Ga-ridi (1962-), male, native of Tongliao, Inner Mongolia, professional of Inner Mongolia Normal University, Master Instructor, engages in function approximation theory.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11761055); Supported by Inner Mongolia Normal University Graduate Research and Innovation Project (Grant No. CXJJS20091).

N-Width for Some Classes of Periodic Functions

College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China; Center of Applied Mathematical Science, Inner Mongolia Normal University, Hohhot 010022, China

Received:2021-07-01 Online:2021-12-30 Published:2021-12-30
About author: WANG Jia-wei (1996-), female, native of Hohhot, Inner Mongolia, postgraduate student of Inner Mongolia Normal University, engages in function approximation theory; WU Ga-ridi (1962-), male, native of Tongliao, Inner Mongolia, professional of Inner Mongolia Normal University, Master Instructor, engages in function approximation theory.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 11761055); Supported by Inner Mongolia Normal University Graduate Research and Innovation Project (Grant No. CXJJS20091).

摘要/Abstract

摘要： This paper considers the Kolmogorov width, the Gelfand width and the Linear width of the periodic smooth functions with boundary conditions in Orlicz space. Further, the relationships among these three types of width are obtained.

关键词: Width, Smooth function, Orlicz space

Abstract: This paper considers the Kolmogorov width, the Gelfand width and the Linear width of the periodic smooth functions with boundary conditions in Orlicz space. Further, the relationships among these three types of width are obtained.

Key words: Width, Smooth function, Orlicz space

中图分类号:

O174.41

王家玮, 吴嘎日迪. 某些周期函数类的 N 宽度[J]. 数学季刊, 2021, 36(4): 390-394.

WANG Jia-wei, WU Ga-ridi. N-Width for Some Classes of Periodic Functions[J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 390-394.

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某些周期函数类的 N 宽度

N-Width for Some Classes of Periodic Functions

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