A New Kind of Pre-Mean-Type Mappings and Its Gauss Iteration  

作　　者：Yingjun Ni Yuli Fan Yingjun Ni;Yuli Fan(School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China)

机构地区：[1]School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第7期2574-2581,共8页应用数学与应用物理（英文）

摘　　要：A function which is reflexive is called by pre-mean, a more generalized definition of a mean. In this paper, we define a new pre-mean and study its properties, and then using the given invariant curve we consider the problem of convergence of Gauss iteration of a kind of pre-mean type mappings generated by the exponential and logarithmic functions.A function which is reflexive is called by pre-mean, a more generalized definition of a mean. In this paper, we define a new pre-mean and study its properties, and then using the given invariant curve we consider the problem of convergence of Gauss iteration of a kind of pre-mean type mappings generated by the exponential and logarithmic functions.

关 键 词：Pre-Mean-Type Mapping Invariant Equation Invariant Curves 

分 类 号：O17[理学—数学]