KCI등재
학술저널
GENERALIZED HYERS-ULAM STABILITY OF FUNCTIONAL EQUATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
- : KCI등재
- 2007.12
- 387 - 399 (13 pages)
In this paper, we prove the generalized Hyers-Ulam stability of the following linear functional equations f(x + iy) + f(x ¡ iy) + f(y + ix) + f(y ¡ ix) = 2f(x) + 2f(y) and f((1 + i)x) = (1 + i)f(x), and of the following quadratic func-tional equations f(x + iy) + f(x ¡ iy) + f(y + ix) + f(y ¡ ix) = 0 and f((1 + i)x) = 2if (x) in complex Banach spaces.
1. Introduction and preliminaries
2. Generalized Hyers-Ulam stability of linear functional equa-tions
3. Generalized Hyers-Ulam stability of quadratic functional equations
References