摘要
讨论了形如∫aa+h(x-a)βf(x)dx的Gauss-Jacobi求积公式,当积分区间长度趋向于零时,确定了求积公式的余项中介点η的渐近性,并给出了校正公式,比原公式提高了两次代数精度.此外,本文的结论包含了文[3]的结果.
This paper discusses a kind of Gauss-Jacobi quadrature formula as ∫a＋ha（x-a）βf（x）dx.An asymptotic property of medium points η within remainder term is calculated when the length of integral interval tends to zero.The authors thus advance a correction formula which is higher two algebraic accuracy than previous formula.In addition,the result generalizes that of paper [3] in Bibliography.
出处
《大学数学》
2009年第4期78-80,共3页
College Mathematics
