摘要
给出了广义算子半群的连续修正模的定义,基于此对广义算子半群的概率逼近问题进行了研究.在不同的概率分布形式下,给出了广义算子半群Shisha-Mond型概率逼近形式和速度估计.
Definition of continuous modified modulus is presented in this work and then used to address the problem of probabilistic approximation for generalized operator semigroups. The Shisha-Mond probabilistic approximation formulas and convergent rates are given under different forms of probability distributions as well.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2015年第6期88-92,共5页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金资助项目(10671205)
中央高校基本科研业务费资助项目(3142012022
3142013039
3142014127)
华北科技学院重点学科资助基金(HKXJZD201402)
关键词
广义算子半群
连续修正模
概率逼近
generalized operator semigroups
continuous modified modulus
probabilistic approximation
