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《分析,理论与应用(英文版)》 2006-02
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APPROXIMATION PROPERTIES OF LAGRANGE INTERPOLATION POLYNOMIAL BASED ON THE ZEROS OF (1-x~2)cosnarccosx

Laiyi Zhu (People’s University of China, China)  
We study some approximation properties of Lagrange interpolation polynomial based on the ze- ros of (1 ? x2) cos n arccos x. By using a decomposition for f(x) ∈ CrCr+1 we obtain an estimate of f(x)?Ln+2(f, x) which re?ects the in?uence of the position of the x’s and ω(f(r+1), δ)j, j = 0, 1, ··· , s, on the error of approximation.
【Fund】: Supported by the National Nature Science Foundation.
【CateGory Index】: O174.42
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【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 YUAN An-feng,XING Chun-feng(Basic Courses Department of Beijing Union University,Beijing 100101,China);The Estimation of the Lagrange Interpolation Basic Polynomial on the Nodes[J];Journal of Beijing Union University(Natural Sciences);2008-02
2 Laiyi Zhu and Zhiyong Huang School of Information People's University of China Beijing, 100872P. R. China;ON LAGRANGE INTERPOLATION FOR |X|~α (0 < α < 1)[J];分析,理论与应用(英文版);2009-01
3 XEI Ting\|fan (China Institute of Metrology, Hangzhou 310034, China);The new advaces of the research of some problems in Lagrange interpotaion approximation[J];Journal of China Institute of Metrology;2002-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Liu DaWang Tianmiao(School of Mechanical Engineering and Automation,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);Algorithm combined analytical and numerical solutions for robot inverse kinematics[J];Journal of Beijing University of Aeronautics and Astronautics;2007-06
2 NIE Chun yan (Electronic Engineering College,Changchun University,Changchun*"130022,China);The application about MATLAB/SIMULINK in dynamical system simulation[J];Journal of Changchun University;2001-01
3 DUHua,et al.(Faculty ofElectromechanical Engineering,Changchun Institute of Technology,Changchun 130012,China);Kinematic simulation of stanford manipulator[J];Journal of Changchun Institute of Technology(Natural Sciences Edition);2009-03
4 WANG Dan,GUO Hui,SUN Zhi-li(School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China.;Normal and Inverse Pose Solutions to 3-RPS Parallel Robot Based on ADAMS[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2005-12
5 LI Xu-rong, ZHENG Xiang-zhou(College of Engineering and Technology,Huazhong Agriculture Univeristiy,Wuhan 430070,China);ADAMS-enabled virtual prototyping and dynamical simulation approach into planing mechanism[J];Chinese Journal of Construction Machinery;2007-04
6 GUO Bai-ling,HU Zheng-yi(School of Electromechanical Engin.,Wuhan Univ.of Technology,Wuhan Hubei 430070,China);The Trajectory Planning & Simulation of the Handling Manipulator Based on ADAMS[J];Journal of Hubei University of Technology;2007-04
7 Xu Chao Assoc. Prof.; School of Mechatronic, Beijng Institute of Technology, Beijng 100081, China.;The recent state and development of the research on reconfigurable robot[J];Journal of Huazhong University of Science and Technology;2004-S1
8 Hyungwon Shim,Jihong Lee BK21 Mechatronics Group,Chungnam National University,Daejeon 305-764,Korea;Acceleration Workspace of Cooperating Multi-Finger Robot Systems[J];仿生工程学报(英文版);2008-02
9 DING Jia-Luo,ZHAN Qiang (Robotics Institute of Beihang University, Beijing 100083,China);Inverse Kinematics and Dynamics Optimisation Analysis of an Articulated Robot with ADAMS[J];Development & Innovation of Machinery & Electrical Products;2008-01
10 LIU Hong-Wei (Department of Mechanical and Electrical Engineering, Nanyang Institute of Technology, Nanyang Henan 473004, China);Kinematics Simulation for a Kind of 5-DOF Robot Based on ADAMS[J];Development & Innovation of Machinery & Electrical Products;2008-06
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