Invariance in a class of Bajraktarević means Original Research Article

Let I⊂RI⊂R be a non-trivial interval, s:I→(0,∞)s:I→(0,∞) be a function, and let φ,ψφ,ψ be real continuous strictly monotonic functions defined on II. We consider the equation View the MathML sourceA∘(Bsφ,Bsψ)=A, Turn MathJax on where View the MathML sourceBsα denotes the Bajraktarević mean given by View the MathML sourceBsα(x,y)=α−1(s(x)s(x)+s(y)α(x)+s(y)s(x)+s(y)α(y)) Turn MathJax on and AA is the arithmetic mean.