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초록
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x − 2y) = 4f(x + y) + 4f(x − y) −6f(x) + f(2y) + f(−2y) − 4f(y) − 4f(−y) in Banach spaces.
키워드
Banach space; generalized Hyers-Ulam stability; additivequadratic-cubic-quartic functional equation
- 제목
- ON THE STABILITY OF AN AQCQ-FUNCTIONAL EQUATION
- 저자
- Park, Choonkil; Jo, Sung Woo; Kho, Dong Yeong
- 발행일
- 2009-12
- 저널명
- 충청수학회지
- 권
- 22
- 호
- 4
- 페이지
- 757 ~ 770