TITLE:
A New Kind of Pre-Mean-Type Mappings and Its Gauss Iteration
AUTHORS:
Yingjun Ni, Yuli Fan
KEYWORDS:
Pre-Mean-Type Mapping, Invariant Equation, Invariant Curves
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
26,
2024
ABSTRACT: 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.