학술저널
ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 2
-
2012.05171 - 181 (11 pages)
- 2
In this paper, for any ¯xed integer n > m ¸ 1, we investigate the generalized Hyers{Ulam stability of the following quadratic functional equation f(nx + my) + f(nx ¡ my) = mn[f(x + y) + f(x ¡ y)] + 2(n ¡ m)[nf(x) ¡ mf(y)] in p-Banach spaces, where 0 < p · 1. And we prove the same stability of the above functional equation in 2-Banach spaces.
1. Introduction
2. Stability of (1.4) in p-Banach spaces
3. Stability of (1.4) in 2-Banach spaces
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