On a Cauchy-Jensen functional inequality
Applying Hyers' iteration method, the authors present some Hyers-Ulam stability results in Banach modules over a \(C^{\ast}\)-algebra related to the functional inequality \[ \Bigl\|f(x)+f(y)+2f\Bigl(\frac{x+y}{2}+z\Bigr)\Bigr\|\leq2\|f(x+y+z)\|. \]
scientific article; zbMATH DE number 5712982