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초록
Let be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f, h : R -> Y satisfy the following Pexider quadratic inequality vertical bar vertical bar f (x + y) + f (x - y) - 2f (x) - 2h(y)vertical bar vertical bar <= epsilon, in a set Omega subset of R-2 of Lebesgue measure m(Omega) = 0.
키워드
Pexider quadratic functional equation; Hyers-Ulam stability; first category Lebesgue measure; Baire category theorem; SPACES; ULAM
- 제목
- Stability of pexiderized quadratic functional equation on a set of measure zero
- 저자
- El-Fassi, I.-I.; Chahbi, A.; Kabbaj, S.; Park, C.
- 발행일
- 2016-00
- 유형
- Article
- 권
- 9
- 호
- 6
- 페이지
- 4554 ~ 4562