Author(s)

Yaxun Yang

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

In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solving an equivalent functional equation. We obtain the necessary and sufficient conditions for the equality equation.

Bajraktarević Means, Quasi-Arithmetic Means, Equality Problem, Functional Equation

Yang, Y. (2024) On the Equality of Weighted Bajratarević Means to Quasi-Arithmetic Means. Journal of Applied Mathematics and Physics, 12, 1126-1133. doi: 10.4236/jamp.2024.124070.