伯努利双纽线区域内解析函数类的优化问题  

Majorization Problems for the Class of Analytic Functions on the Domains of Lemniscate of Bernoulli

作　　者：汤获[1] 李书海[1] 牛潇萌[1] 张海燕[1] TANG Huo;LI Shu-hai;NIU Xiao-meng;ZHANG Hai-yan(School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Chin)

机构地区：[1]赤峰学院数学与统计学院

出　　处：《数学的实践与认识》2018年第11期263-267,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11561001,11271045);内蒙古高校青年科技英才支持计划资助项目(NJYT-18-A14);内蒙古自然科学基金(2010MS0117,2014MS0101,2017MS0113);内蒙古高校科研基金(NJZY16251,NJZY17300);赤峰市自然科学科研课题

摘　　要：利用Salagean算子和从属关系，引进了伯努利双纽线左、右半有界区域内解析函数类BLn和BRn（c），研究了上述函数类的优化问题，得到了一些有趣的结果．In this paper, we introduce the classes BLn and BRn（c） of analytic functions on the left-half and right-half bounded domains of lemniscate of Bernoulli, which are defined by using the Salagean operator and subordination relationship, and investigate majorization problems for functions belonging to these classes and obtain some interesting results.

关 键 词：解析函数 伯努利双纽线 SALAGEAN算子 从属关系 优化 

分 类 号：O174.5[理学—数学]