TITLE:
On the Equality of Weighted Bajratarević Means to Quasi-Arithmetic Means
AUTHORS:
Yaxun Yang
KEYWORDS:
Bajraktarević Means, Quasi-Arithmetic Means, Equality Problem, Functional Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.4,
April
22,
2024
ABSTRACT: 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.