Department of Mathematics, University of Louisville,
Louisville, Kentucky 40292, USA
Abstract. In this paper, we investigate the Hyers-Ulam stability of a generalized Hosszu functional equation, namely
f(x + y - αxy ) + g(xy) = h(x) + k(y),where f, g, h, k are functions of a real variable with values in a Banach space.
2000 Mathematics Subject Classification. 39B62, 39B82.
Key words and phrases. Additive function, Davison functional equation, Hosszu's functional equation, Hyers-Ulam stability.