摘要
设Γ是平面上的闭光滑Jordan曲线,f∈C(Γ).利用Herm ite插值的基多项式构建一种连续函数插值,一致收敛于f∈C(Γ),且其逼近度和实区间上Jackson定理的逼近度是一样的.
Let F be a closed smooth Jordan curve in the complex plane,and f∈ C （Г）. With the help of a class of fundermental functions of Hermite interpolotion,a continuons function interpolation is put forward,which uniformly approximates tof（z） ∈ C（Г） with the same order of approximation as that in Jackson theorem on real interval .
出处
《华北水利水电学院学报》
2007年第3期104-106,112,共4页
North China Institute of Water Conservancy and Hydroelectric Power
关键词
复曲线
插值
一致逼近
逼近阶
a complex curve
interpolation
uniform approximation
order df approximation
