某些周期函数类的 N 宽度

王家玮, 吴嘎日迪

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

数学季刊 >

2021 , Vol. 36 >Issue 4: 390 - 394

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.04.005

某些周期函数类的 N 宽度

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

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.

收稿日期: 2021-07-01

网络出版日期: 2021-12-30

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).

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N-Width for Some Classes of Periodic Functions

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

Received date: 2021-07-01

Online published: 2021-12-30

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).

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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

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

Abstract

Key words： Width; Smooth function; Orlicz space

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