随机Dirichlet级数在右半平面的广义逼近  

Generalized Approximation of Random Dirichlet Series in the Right Half Plane

作　　者：洪甜甜 霍颖莹 Hong Tian-tian;Huo Ying-ying(School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510520 China)

机构地区：[1]广东工业大学数学与统计学院,广东广州510520

出　　处：《广东工业大学学报》2023年第3期105-112,共8页Journal of Guangdong University of Technology

基　　金：国家自然科学基金资助项目(11501127)。

摘　　要：通过引入广义级和广义型的概念,利用Newton多边形,研究了半平面上用多项式逼近随机Dirichlet级数时所产生的偏差与最大模的关系,证明了系数是φ混合序列且满足(MZ)*条件的随机Dirichlet级数的广义逼近与非随机情况一致。By introducing the concept of generalized order and type,and using Newton polygon,a study is conducted on the random Dirichlet series in the right half plane whose coefficients areφmixing random variables and satisfying the(MZ)*condition and obtain the relationship between the maximum modulus and the error term in approximating.

关 键 词：φ混合 随机DIRICHLET级数 偏差 广义级 广义型 

分 类 号：O174.52[理学—数学]