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초록
In this paper, we prove the Hyers-Ulam stability of the following function inequalities: parallel to f(x) + f(y) + f(z)parallel to <= parallel to Kf(x+y+z/K)parallel to (0 < vertical bar K vertical bar < 3), parallel to f(x) + f(y) + Kf(z) <= parallel to Kf(x+y/K+z)parallel to (0 < K not equal 2) in Banach spaces. MSC: Primary 39B62; 39B52; 46B25
키워드
Hyers-Ulam stability; additive functional inequality; additive mapping; APPROXIMATELY LINEAR MAPPINGS; STABILITY; HOMOMORPHISMS; ALGEBRAS
- 제목
- Additive functional inequalities in Banach spaces
- 저자
- Lu, Gang; Park, Choonkil
- 발행일
- 2012-12
- 유형
- Article
- 페이지
- 1 ~ 10