摘要
引入向量值函数关于实值函数的Riemann-Stieltjes积分,给出了向量值Riemann-Stieltjes可积的充要条件,并讨论了积分的收敛定理.
A vector-valued Riemann-Stieltjes integral of a banach-valued function with respect to a real valued function is defined. Then the basic properties of Riemann-Stieltjes integral are discussed. Some sufficent and necessary conditions of Riemann-Stieltjes integrable are given. Finally, the convergence theorem are obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第7期129-137,共9页
Mathematics in Practice and Theory
基金
陕西省教育厅自然科学专项基金(05JK207)
