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On a functional equation related to two-variable Cauchy means

On a functional equation related to two-variable Cauchy means

In this paper, we are dealing with the solution of the functional equationconcerning the unknown functions ϕ, f and F defined on a same open subinterval of the reals.Improving the previous results related to this topic, we describe the solution triplets (ϕ, f, F ) assuming only the continuity of …