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초록
Using the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ( x + y , z + w ) + ϕ( x - y , z - w ) - 2 ϕ( x , z ) - 2 ϕ( x , w ) = 0 in ρ-complete convex modular spaces satisfying Fatou property or Δ2-condition.
키워드
Hyers-Ulam-Rassias stability; additive-quadratic functional equation; modular space; Fatou property; Δ2-condition
- 제목
- Stability of an additive-quadratic functional equation in modular spaces
- 저자
- Baza, Abderrahman; Rossafi, Mohamed; Park, Choonkil; Donganont, Mana
- 발행일
- 2024-11
- 유형
- Article
- 저널명
- Open Mathematics
- 권
- 22
- 호
- 1
- 페이지
- 1 ~ 12