Revista de la Unión Matemática Argentina Home Editorial board For authors Latest issue In press MCA 2021 Online first Prize Search OJS

### Published volumes

##### 1936-1944
Almost additive-quadratic-cubic mappings in modular spaces
Volume 60, no. 2 (2019), pp. 359–379

### Abstract

We introduce and obtain the general solution of a class of generalized mixed additive, quadratic and cubic functional equations. We investigate the stability of such modified functional equations in the modular space $X_\rho$ by applying the $\Delta_2$-condition and the Fatou property (in some results) on the modular function $\rho$. Furthermore, a counterexample for the even case (quadratic mapping) is presented.