摘要
本文采用三次Birkhoff型插值样条讨论任意光滑弧上的奇异积分T_w(f:x,r)=∫_p(w(t)f(t))/(t-x)dt的逼近,在f(t)∈D_1,权函数w(t)∈D_1.分划序列拟一致的条件下,证明了其一致收敛性.
In this paper, We discuss the approximation of singular integrol Tw(f; x, Γ) =∫_Γ w(t)f(t)/(t-x)dt by cubic Birkhoff interpolatory splines. With the Conditions that w(t)∈D_1,f(t)∈D_1 and Γ a smooth curve (closed or open), we get its uniform conuergence.
出处
《应用数学》
CSCD
北大核心
1993年第1期110-116,共7页
Mathematica Applicata
关键词
奇异积分
插值样条
一致收敛
逼近
Singular integral
Birkhoff interpolatory spline
Uniform convergence
