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Almost additive-quadratic-cubic mappings in modular spaces
Volume 60, no. 2
(2019),
pp. 359–379
https://doi.org/10.33044/revuma.v60n2a05
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.
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Published by the Unión Matemática Argentina |
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