N-Width for Some Classes of Periodic Functions

WANG Jia-wei, WU Ga-ridi

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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.

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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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

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

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