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초록
In this paper, we prove the Hyers-Ulam-Rassias stability of the following functional equation f(x + y + z) + f(x y + z) + f(x + y z) + f( x + y + z) = 4 f(x) + 4 f(y) + 4 f(z) on the whole space. Moreover, the Hyers-Ulam stability of that equation will also be investigated for functions defined on a restricted domain.
키워드
Hyers-Ulam stability; Hyers-Ulam-Rassias stability; quadratic equation
- 제목
- On the Stability of a Quadratic Functional Equation
- 제목 (타언어)
- On the Stability of a Quadratic Functional Equation
- 저자
- Jae-Hyeong Bae; Kil-Woung Jun; Soon-Mo Jung
- 발행일
- 2003-09
- 권
- 43
- 호
- 3
- 페이지
- 415 ~ 423