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

Received 30 May 2000

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the generalized Hyers-Ulam stability of the functional equation f[x1,x2,x3]=h(x1+x2+x3).