Zhejiang Daxue xuebao. Lixue ban (Nov 2017)

On Lp-approximation by Mütz rational functions(Müntz有理函数的加权Lp逼近)

WANGJunxia(王军霞),
LIGuocheng(李国成)

Affiliations

WANGJunxia(王军霞): ORCiD; 1.Department of Public Education, Tianshui Agriculture School, Tianshui 741400, Gansu Province, China( 1.天水农业学校基础部，甘肃天水 741400)
LIGuocheng(李国成): ORCiD; 2.Department of Public Education, Hangzhou Polytechnic, Hangzhou 311402, China( 2.杭州科技职业技术学院公共教学部，浙江杭州 311402)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2017.06.010
Journal volume & issue: Vol. 44, no. 6
pp. 711 – 717

Abstract

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.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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