On the Generalized Hyers-Ulam-Rassias Stability for a FunctionalEquation of Two Types in p-Banach Spaces

• Published in: Kyungpook mathematical journal pp. 45 - 61
• Main Authors: 박규홍, Yong-Soo Jung
• Format: Journal Article
• Language: English
• Published: 경북대학교 자연과학대학 수학과 01.03.2008
• Subjects: 수학
• ISSN: 1225-6951; 0454-8124

We investigate the generalized Hyers-Ulam-Rassias stability in p-Banach spaces for the following functional equation which is two types, that is, either cubic or quadratic: 2f(x + 3y) + 6f(x − y) + 12f(2y) = 2f(x − 3y) + 6f(x + y) + 3f(4y). The concept of Hyers-Ulam-Rassias stability originated essentially with the Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300. KCI Citation Count: 1