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

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

作     者:Yingjun Ni Yuli Fan Yingjun Ni;Yuli Fan

作者机构:School of Mathematics and Physics Southwest University of Science and Technology Mianyang China 

出 版 物:《Journal of Applied Mathematics and Physics》 (应用数学与应用物理(英文))

年 卷 期:2024年第12卷第7期

页      面:2574-2581页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Pre-Mean-Type Mapping Invariant Equation Invariant Curves 

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.

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