| 摘要: |
| 本文研究了Orlicz 空间内的两类平均逼近问题. 借助 Orlicz 空间内的Hölder不等式、积分第二中值定理、(N,pn)(E,q)求和平均以及(N-bar,pn,qn)(C,2) 乘积平均等工具，研究 Lip(xi(t))类和W (L*_M;xi (t))类中的函数在Orlicz 空间内的三角逼近问题，并给出相应的逼近阶. |
| 关键词: Fourier级数， (N,pn)(E,q)求和平均，(N-bar,pn,qn)(C,2)乘积平均， Orlicz 空间 |
| DOI： |
| 分类号:O174.41 |
| 基金项目: |
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| The Order of Mean Approximation for Two Classes of Functions in Orlicz Spaces |
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Hu Guiqin, WU Garidi
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| Abstract: |
| This paper investigates two types of mean approximation problems in Orlicz spaces. By virtue of the Hölder inequality in Orlicz spaces, the second mean value theorem for integrals, the (N,pn)(E,q) summability mean and the (N-bar,pn,qn)(C,2) product mean, we study the trigonometric approximation of functions belonging to the Lip(xi(t)) class and the W (L*_M;xi (t)) class in Orlicz spaces, and derive the corresponding approximation orders. |
| Key words: Fourier series, (N,pn)(E,q)summation mean, (N-bar,pn,qn)(C,2) product mean , Orlicz space |
