International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 5, Pages 301-307
doi:10.1155/S0161171201005348
A functional equation characterizing cubic polynomials and its stability
Soon-Mo Jung1
and Prasanna K. Sahoo2
1Mathematics Section, College of Science \& Technology, Hong-Ik University, Chochiwon 339-701, Korea
2Department of Mathematics, University of Louisville, Louisville 40292, KY, USA
Abstract
We study the generalized Hyers-Ulam stability of the functional equation f[x1,x2,x3]=h(x1+x2+x3).