Approximate mixed type additive and quartic functional equation

Abasalt Bodaghi
2017 Boletim da Sociedade Paranaense de Matemática  
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.
doi:10.5269/bspm.v35i1.29014 fatcat:ixpb53k2vbcvznyl7l36badlcy