摘要
目的引入ω-型有界变差函数的概念并研究这类函数的部分性质和三角插值多项式的Fejér和对ω-型有界变差函数的逼近估计。方法利用有界变差函数的性质。结果用有界变差函数的局部全变差来准确刻画三角插值多项式的Fej啨r和对有界变差函数的逼近结果。结论给出三角插值多项式的Fejér和对ω-型有界变差函数的一致逼近估计。
Aim To study some of the properties of the function and the estimate of the approximation of trigonometric interpolation polynomial Fejér sums for the function of bounded variation by introducing the concept of ω-type bounded variation function. Methods The properties of bounded variation function are used to investigate. Results The result of approximation is characterized correctly by local total variation of bounded variation function. Conclusion The estimate of the approximation of trigonometric interpolation polynomial Fejér sums for the ω-type bounded variation function is given.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2010年第2期7-10,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词
三角插值多项式的Fejér和
ω-型有界变差函数
逼近
trigonometric interpolation polynomial Fejér sums
ω-type bounded variation function
approximation
