摘要
讨论了数值函数关于集值测度的积分,证明了数值函数关于有界变差弱紧凸集值测度的积分是弱紧凸的,同时建立了集值Lebesgue Stieltjes积分和集值随机Lebesgue Stieltjes积分理论。
The notion of integrals scalar valued functions with respect to a set valued measure is introduced. Some useful properties of the integrals are given. It is proved that the integral of a scalar valued function with respect to a P_(wkc)(X) valued measure is in P_(wkc)(X). The theory of set valued Lebesgue-Stieltjes integrals and set valued stochastic Lebesgue-Stieltjes integrals is established.
出处
《工程数学学报》
CSCD
北大核心
2004年第2期165-171,共7页
Chinese Journal of Engineering Mathematics
基金
国家重点基础研究发展计划(973)计划项目(2002CB312200)
浙江省教育厅科研计划项目(20020940).
