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초록
In this paper, we prove the generalized Hyers-Ulam stability of the following quadratic functional equations cf(∑ni=1xi)+∑nj=2f(∑ni=1xi-(n + c - 1)xj)=(n + c - 1)(f(x1) + c∑ni=2f(xi) + ∑ni<j,j=3(∑n-1i=2f(xi - xj))),Q(∑ni=1dixi)+∑1≤i<j≤n didjQ(xi - xj) = (∑ni=1 di)(∑ni=1 diQ(xi))in random normed spaces.
키워드
random Banach space; quadratic functional equation; generalized Hyers-Ulam stability; quadratic mapping
- 제목
- Stability of quadratic functional equations in random normed spaces
- 제목 (타언어)
- Stability of quadratic functional equations in random normed spaces
- 저자
- 신승원; 기도형; 장재원; 김민준; 박춘길
- 발행일
- 2010-12
- 저널명
- 한국수학논문집
- 권
- 18
- 호
- 4
- 페이지
- 395 ~ 407