半平面上Dirichlet级数的广义级与逼近  

The Generalizes Order and Approximation of Dirichlet Series Converges in the Half Plane

作　　者：应锐 崔永琴 徐洪焱 YING Rui;CUI Yong-qin;XU Hong-yan(Shangrao Preschool Education College,Shajigrao 334001,China;Department of Informatics and Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China;School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]上饶幼儿师范高等专科学校小学教育系,江西上饶334000 [2]景德镇陶瓷大学信息工程学院,江西景德镇333403 [3]上饶师范学院数学与计算机学院,江西上饶334001

出　　处：《数学的实践与认识》2020年第12期210-219,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11561033);江西省自然科学基金(20181BAB201001);江西省教育厅科技项目(GJJ190876,GJJ191042,GJJ190895)。

摘　　要：通过引入广义级概念,讨论了半平面上Dirichlet级数的广义增长性,证明了Dirichlet级数具有两种广义级的等价结果.同时,文章还讨论了具有广义级Dirichlet级数的逼近性质,得到了其逼近算子,广义级,an以及λn之间的若干关系定理,进一步推广了先前的结果.By introducing the concept of the generalize order,we study the generalizer growth of Dirichlet series converges in the half plane,and prove some theorems of Dirichlet series with two different generalize orders.Meantime,we also discuss the approximation of Dirichlet series with generalize order,and obtain some results concerning the error,generalize order,an andλn,which are some extensions of the previous theorem given by Xu and Yi,Kong and Gan,Ni.

关 键 词：DIRICHLET级数 广义级 逼近 

分 类 号：O173[理学—数学]