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/