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초록
In this paper, we study the superstability for the mu-mixed trigonometric functional equation: integral(G) f(xty)d mu(t) - integral(G) f(xt sigma(y))d mu(t) = 2f(x)g(y), x,y is an element of G, where G is a locally compact group, f,g : G -> C are continuous functions, mu is a complex bounded measure and a is a continuous involution of G. We also give some applications.
키워드
Hyers-Ulam stability; Superstability; d'Alembert's equation; mu-Trigonometric functional equation; ASTERISK-HOMOMORPHISMS; FIXED-POINTS; STABILITY; SUPERSTABILITY
- 제목
- ON A mu-MIXED TRIGONOMETRIC FUNCTIONAL EQUATION
- 저자
- Zeglami, Driss; Fadli, Brahim; Park, Choonkil; Rassias, Themistocles M.
- 발행일
- 2015-12
- 유형
- Article
- 권
- 19
- 호
- 6
- 페이지
- 1003 ~ 1011