KCI등재
학술저널
ON THE STABILITY OF AN AQCQ-FUNCTIONAL EQUATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
- : KCI등재
- 2009.12
- 757 - 770 (14 pages)
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x (0.1) − 2y) = 4f(x + y) + 4f(x − y) −6f(x) + f(2y) + f(−2y) − 4f(y) − 4f(−y) in Banach spaces.
1. Introduction and preliminaries
2. Generalized Hyers-Ulam stability of the functional equation (0.1): an odd case
3. Generalized Hyers-Ulam stability of the functional equation (0.1): an even case
Acknowledgments.
References