In the current work, we introduce a general form of a mixed additive and quartic functional equation. We determine all solutions of this functional equation. We also establish the generalized Hyers-Ulam stability of this new functional equation in quasi-$\beta$-normed spaces.
@article{29014,
title = {Approximate mixed type additive and quartic functional equation},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v35i1.29014},
language = {EN},
url = {http://dml.mathdoc.fr/item/29014}
}
Bodaghi, Abasalt. Approximate mixed type additive and quartic functional equation. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v35i1.29014. http://gdmltest.u-ga.fr/item/29014/