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초록
In this paper, we investigate the Hyers-Ulam stability of the functional equations f(x + y ) + f(x - y) = 2f(x), f(x + y ) + f(x - y) = 2f(x) + f(y) + f(-y), f(px + (1-p)y) + f((1 - p)x +py)= f(x) _ f(y) for p = 1/3 and p = 1/4, where f is a mapping from a bounded subset of R-N >= 1 into a Banach space E.
키워드
Additive mapping; quadratic mapping; Hyers-Ulam stability; restricted domain
- 제목
- STABILITY OF SOME FUNCTIONAL EQUATIONS ON BOUNDED DOMAINS
- 저자
- Noori, Batool; Moghimi, Mohammad Bagher Farshbaf; Khosravi, B.; Park, Choonkil
- 발행일
- 2020-06
- 유형
- Article
- 권
- 14
- 호
- 2
- 페이지
- 455 ~ 472