On a functional equation related to two-variable Cauchy means
Classical Analysis and ODEs
2020-11-23 v1
Abstract
In this paper, we are dealing with the solution of the functional equation concerning the unknown functions and defined on a same open subinterval of the reals. Improving the previous results related to this topic, we describe the solution triplets assuming only the continuity of . As an application, under natural conditions, we also solve the equality problem of two-variable Cauchy means and two-variable quasi-arithmetic means.
Cite
@article{arxiv.1807.00662,
title = {On a functional equation related to two-variable Cauchy means},
author = {Tibor Kiss and Zsolt Páles},
journal= {arXiv preprint arXiv:1807.00662},
year = {2020}
}