Zhejiang Daxue xuebao. Lixue ban (Jan 2004)

Approximation to function |x| α by interpolation polynomials(插值多项式对函数|x|α的逼近)

HEGuo-long(何国龙),
CHENZhi-xiang(陈志祥),
ZHOUSong-ping(周颂平)

Affiliations

HEGuo-long(何国龙): 1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系, 浙江杭州 310027)
CHENZhi-xiang(陈志祥): 3.Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China( 3.绍兴文理学院数学系, 浙江绍兴 312000)
ZHOUSong-ping(周颂平): 4.Faculty of Science, Zhejiang Institute of Science & Technology, Hangzhou 310033, China( 4.浙江工程学院理学院, 浙江杭州 310033)

DOI
Journal volume & issue: Vol. 31, no. 1
pp. 21 – 23

Abstract

研究插值多项式对|x|α达到最佳逼近度的一种构造方法,证明了当n=2m,m∈N,α∈(0,1]时,其中, R2m(x)是以x0=0,为插值结点的对|x|α的Lagrange插值多项式,从而推广了M. Revers的结论.

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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