On a conjecture by Alzer and Matkowski

Włodzimierz Fechner, Marta Pierzchałka, Gabriela Smejda

Published 2024-12-19Version 1

We prove a conjecture posted recently by by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. Moreover, we provide a generalization of their result for mappings defined on a linear space.