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초록
In this work, we prove the generalized Hyers-Ulam stability of the following functional inequality: parallel to f(x) + f(y) + f(z)parallel to <= parallel to kf(x+y+z/k)parallel to, vertical bar k vertical bar < vertical bar 3 vertical bar, in non-Archimedean Banach spaces.
키워드
Non-Archimedean Banach space; Generalized Hyers-Ulam stability; Jordan-von Neumann functional equation; Functional inequality; APPROXIMATELY LINEAR MAPPINGS; STABILITY; EQUATIONS; BEHAVIOR; JENSEN
- 제목
- Functional inequalities in non-Archimedean Banach spaces
- 저자
- Cho, Yeol Je; Park, Choonkil; Saadati, Reza
- 발행일
- 2010-10
- 유형
- Article
- 권
- 23
- 호
- 10
- 페이지
- 1238 ~ 1242