Hyers-Ulam stability of a generalized Hosszu functional equation

Hong-Ik University, Mathematics Section, College of Science and Technology, 339-701 Chochiwon, Korea
e-mail: smjung@wow.hongik.ac.kr

Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, USA
e-mail: sahoo@louisville.edu

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.

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