| 在等距节点处的反周期函数的一类三角插值问题 |
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| 引用本文： | 李艳坡,何尚琴,高明晶,郑国萍,郭亚军.在等距节点处的反周期函数的一类三角插值问题[J].河北大学学报(自然科学版),2010,30(6). |
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| 作者姓名： | 李艳坡 何尚琴 高明晶 郑国萍 郭亚军 |
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| 作者单位： | 河北科技师范学院数学与信息科技学院; |
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| 基金项目： | 河北省自然科学基金数学研究专项 |
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| 摘 要： | 研究了以π为周期的反周期函数的一类缺项三角插值,解决了在等距节点处的反周期函数的(0,P(D))三角插值问题,得到了解存在的条件、插值函数的显式表达式及其收敛阶.
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| 关 键 词： | 反周期函数 插值 正则 收敛阶 |
Problem of a Kind Antiperiodic Trigonometric Interpolation on Equidistant Nodes |
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| LI Yan-po,HE Shang-qin,GAO Ming-jing,ZHENG Guo-ping,GUO Ya-jun.Problem of a Kind Antiperiodic Trigonometric Interpolation on Equidistant Nodes[J].Journal of Hebei University (Natural Science Edition),2010,30(6). |
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| Authors: | LI Yan-po HE Shang-qin GAO Ming-jing ZHENG Guo-ping GUO Ya-jun |
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| Institution: | LI Yan-po,HE Shang-qin,GAO Ming-jing,ZHENG Guo-ping,GUO Ya-jun(School of Mathematics and Information Technology,Hebei Normal University of Science and Technology,Qinhuangdao 066004,China) |
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| Abstract: | The Birkhoff trigonometric interpolation of π-antiperiodic function was studied,the problem of the π-antiperiodic function(0,P(D)) interpolation on equidistant nodes was solved,the existing conditions of the solution was obtained,the explicit form and the rate of convergence were got in the corresponding condition. |
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| Keywords: | antiperiodic function interpolation regular the rate of convergence |
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