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초록
In [7], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed integer [수식]Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (0.2) in real Banach spaces.
키워드
Jensen additive mapping; Jensen quadratic mapping; functional equation associated with inner product space; generalized Hyers-Ulam stability
- 제목
- Functional equations associated with inner product spaces
- 저자
- Park, Choonkil; Huh, Jae Sung; Min, Won June; Nam, Dong Hoon; Roh, Seung Hyeon
- 발행일
- 2008-12
- 저널명
- 충청수학회지
- 권
- 21
- 호
- 4
- 페이지
- 455 ~ 466