推广的奇异函数的Hermite插值求积公式及误差上限的估计  

A GENERALIZED HERMITE-INTRPOLATORY QUADRATURE FORMULA FOR SINGULAR FUNCTIONS AND ITS ERROR ESTMATION

作　　者：陆建芳[1,2] 鲍永平[1,2] 

机构地区：[1]浙江工业大学基础部 [2]山东省烟台师范学院

出　　处：《莱阳农学院学报》1998年第1期29-33,共5页Journal of Laiyang Agricultural College

摘　　要：本文推导出被积函数ｆ（ｘ）具有有限个极点，且与正交多项式零点有重合的极点的Ｈｅｒｍｉｔｅ插值求积公式。A generalized Hermite-interpolatory quadrature formula is derived for the numerical evaluation of integrals of the form ∫ 1 -1 f(x)dx,where f(x) possesses poles and some of them coincides with zero of P n(x),and the error for this quadrature formulais estimated.

关 键 词：插值函数 插值求积 正交多项式 极点 留数 

分 类 号：O174.42[理学—数学]