基于重新参数化技术的新Cusa-Huygens不等式  

New cusa-huygens inequalities by using eparameterization

作　　者：陈小雕[1] 姜霓裳 CHEN Xiaodiao;JIANG Nichang(School of Computer,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China;School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学计算机学院,浙江杭州310018 [2]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2021年第4期77-81,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61972120);浙江省重点研发计划资助项目(2018C01113)。

摘　　要：以Cusa-Huygens不等式为例,结合Padé逼近方法和重新参数化技术,提出新Cusa-Huygens不等式,从而得到更为精确的逼近估算。与同类已有的Cusa-Huygens不等式相比,新不等式的上下界约束更为紧凑。Inequalities and their proofs are widely used in communication engineering.Taking the Cusa-Huygens inequality as an example,new Cusa-Huygens inequalities are proposed by combining the Padéapproximation method and the reparameterization technique,which obtain much smaller approximation errors than those of the prevailing Cusa-Huygens inequalities.

关 键 词：Cusa-Huygens不等式 重新参数化 Padé逼近方法 更紧凑的包围盒 

分 类 号：O122.3[理学—数学]