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.
The Birkhoff trigonometric interpolation of π-antiperiodic function was studied, the problem of the π-antiperiodic function (O,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.
出处
《河北大学学报(自然科学版)》
CAS
北大核心
2010年第6期617-621,共5页
Journal of Hebei University(Natural Science Edition)
基金
河北省自然科学基金数学研究专项(08M004)
关键词
反周期函数
插值
正则
收敛阶
antiperiodic function
interpolation
regular
the rate of convergence