학술논문
ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Sang-Baek Lee Mi Hyun Han Won-Gil Park
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 2, 171~181쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2012.05.30
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국문 초록
영문 초록
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.
목차
1. Introduction
2. Stability of (1.4) in p-Banach spaces
3. Stability of (1.4) in 2-Banach spaces
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