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在等距节点处的反周期函数的(0,m1,m2,...,mp)三角插值
引用本文:何尚琴,郭亚君,郭雅彩,任蕴丽,高瑞平. 在等距节点处的反周期函数的(0,m1,m2,...,mp)三角插值[J]. 大学数学, 2009, 25(1)
作者姓名:何尚琴  郭亚君  郭雅彩  任蕴丽  高瑞平
作者单位:河北科技师范学院,数理系,河北,秦皇岛,066004;河北科技师范学院,数理系,河北,秦皇岛,066004;河北科技师范学院,数理系,河北,秦皇岛,066004;河北科技师范学院,数理系,河北,秦皇岛,066004;河北科技师范学院,数理系,河北,秦皇岛,066004
摘    要:
研究了以π为周期的反周期函数的Birkhoff三角插值,解决了在等距节点处的反周期函数的(0,m1,m2,…,mp)三角插值问题,得到了解存在的条件.

关 键 词:π反周期函数  插值  正则

The Antiperiodic (0,m1,m2,...,mp) Trigonometric Interpolation on Equidistant Nodes
HE Shang-qin,GUO Ya-jun,GUO Ya-cai,REN Yun-li,GAO Rui-ping. The Antiperiodic (0,m1,m2,...,mp) Trigonometric Interpolation on Equidistant Nodes[J]. College Mathematics, 2009, 25(1)
Authors:HE Shang-qin  GUO Ya-jun  GUO Ya-cai  REN Yun-li  GAO Rui-ping
Affiliation:Department of Mathematics and Physics;Hebei Normal University of Science and Technology;Hebei Qinghuangdao 066004
Abstract:
The Birkhoff trigonometric interpolation of π-antiperiodic function are studied,the problem of the π-antiperiodic function(0,m1,m2,…,mp)interpolation was dissolved on equidistant nodes,the condition of the existence of solution was obtained.
Keywords:π-antiperiodic function  trigonometric interpolation  regular
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