摘要
本文提出了广义Bernoulli多项式与广义Bernoulli数,并借此得到了一类含两端点连续阶导数值求积公式的误差渐近式和推广的Euler-Maclaurin求和公式.借助于计算机代数系统进行了公式的机械推导,并列出了部分推导结果.
Generalized Bernoulli polynomials and generalized Bernoulli numbers are proposed, with which asymptotic expansions of a family of quadrature formulae involving the successive order of derivatives at the endpoints and extended Euler-Maclaurin summation formulae are obtained. Computer algebra is used for mechanical derivations of the formulae and some results of the derivations are listed.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1992年第2期177-183,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
浙江省自然科学基金
