机构地区: 大连理工大学
出 处: 《Journal of Mathematical Research and Exposition》 1990年第4期495-499,共5页
摘 要: 本文应用非标准分析技巧建立了拟Duhamel原理,并利用这一原理简化了经典分析中Riemann-Stieltjes积分的某些定理的证明方法。文中还给出了上述原理对和式渐近逼近的应用。 In this paper the techniques of nonstandard analysis are used to establish the quasi-Duhamel Principle. The applications of our result lead to simple nonstandard proofs for some theorems of classical mathematical analysis.This principle is also very useful for nonstandard asymptotic approximation of sums and integrals.