On Lp-approximation by Mütz rational functions(Müntz有理函数的加权Lp逼近)
考察了加Jacobi权w(x)=xα(1-x)α(α≥0)的Lp空间中Müntz有理函数的逼近问题.利用K-泛函与加权光滑模的等价性给出了逼近阶的估计以及Ditzian-Totik型定理.所得结果将已有文献中的相应结论推广到了加权情形.
Main Authors: | WANGJunxia(王军霞), LIGuocheng(李国成) |
---|---|
Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2017-11-01
|
Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.06.010 |
Similar Items
-
On the pointwise estimate for Müntz rational approximation(Müntz有理逼近的点态估计)
by: YUDan-sheng(虞旦盛), et al.
Published: (2001-11-01) -
Global and pointwise estimates for Müntz rational approximation(Müntz有理逼近的整体估计和点态估计)
by: WANGJunxia(王军霞), et al.
Published: (2014-03-01) -
Density and approximation rate of Müntz rational functions on infinite intervals(无界区间上Müntz有理函数的稠密性和逼近速度)
by: LUCheng-bo(卢诚波), et al.
Published: (2008-01-01) -
Approximation by reciprocals of Bak operator(Bak算子的倒数逼近)
by: MEIXue-feng(梅雪峰)
Published: (2001-11-01) -
Progressive iterative approximation with different weights and its application(带互异权值的渐进迭代逼近算法及其应用)
by: ZHANGLi(张莉), et al.
Published: (2017-01-01)