Author(s)

Yingjun Ni, Yuli Fan^*

School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, China.

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.

Pre-Mean-Type Mapping, Invariant Equation, Invariant Curves

Ni, Y. and Fan, Y. (2024) A New Kind of Pre-Mean-Type Mappings and Its Gauss Iteration. Journal of Applied Mathematics and Physics, 12, 2574-2581. doi: 10.4236/jamp.2024.127152.