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《Journal of Hangzhou Teachers College》 2004-01
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The divergence of Lagrange interpolation polynomial to |x|~α in equidistant nodes

LU Zhi-kang, GE Xi-fang(Department of Mathematics, Hangzhou Teachers College, Hangzhou 310012, China)  
This paper discusses the divergence of the sequence of Lagrange interpolation polynomials corresponding to the function f~α_λ(x)=x~α,0≤x≤1,λ|x|~α,-1≤x0,(0α≤1,λ being constant)
【CateGory Index】: O174.14
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【Co-references】
Chinese Journal Full-text Database 8 Hits
1 TIAN Gui-chen~1,LI Tong-sheng~2(1.Department of Mathematics, Shijiazhuang Normal College, Shijiazhuang050801, China;2.Department of Mathematics, Langfang Normal College, Langfang 065000, China);Rate of Weighted L_1 Convergence of the Grünwald (Interpolatory) Operators[J];College Mathematies;2004-01
2 XIA Mao (Department of Mathematics, Hangzhou Teachers College, Hangzhou 310012, China) \;;On the convergence at the zero of Lagrange interpolation polynomials[J];JOURNAL OF HANGZHOU TEACHERS COLLEGE;2003-02
3 GE Xi-fang (Department of Mathematics, Hangzhou Teachers College, Hangzhou 310012, China);On Lagrange interpolation with equally spaced nodes[J];Journal of Hangzhou Teachers College;2004-04
4 LU Zhi-kang~1, WU Xiao-hong~2 (1. Department of Mathematics, Hangzhou Teachers College, Hangzhou 310012, China; 2. Basic Courses Department, Hangzhou Wanxiang Polytechnic, Hangzhou 310000, China);Approximation to function |x|~α by interpolation polynomials[J];Journal of Hangzhou Teachers College;2005-02
5 CHEN Zhi-xiang, ZHOU Song-ping ( 1. Department of Mathematics. Yancheng Teacher's College, Yancheng 224002, China; 1. The Mathematical Institute, Ningbo University, Ningho 315211, China);Rate of weighted L, convergence of the Grilnwald interpolatory operators.[J];Journal of Zhejiang University(Sciences Edition);2003-01
6 Wen Chenglin(Department of Mathematics,Henan University, Kaifeng 475001, P.R. China)Zhang Shuling(Department of Mathematics, Xibei University, Xi'an 710069, P.R. China);The Mean Convergence Properties of Extended Hermite-Fejer Interpolation Operators[J];ACTA MATHEMATICA SINICA;1999-03
7 Min Guhua;On Grnwald Interpolatory Operator and its Application[J];Journal of Mathematical Research and Exposition;1989-03
8 XU Gui-qiao,LIU Yong-ping (Dept.of Math.,Beijing Normal University,100875,China);The Rate of L_p,Convergence of the Grǖnwald Process[J];Journal of Mathematical Research and Exposition;2001-03
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