SOLUTION AND STABILITY OF MIXED TYPE FUNCTIONAL EQUATIONS

• 발행기관: 충청수학회
• 저자명: Kil Woung Jun Il Sook Jung Hark Mahn Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 815~830쪽, 전체 16쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

In this paper we establish the general solution of the following functional equation with mixed type of quadratic and additive mappings f(mx + y) + f(mx − y) + 2f(x) = f(x + y) + f(x − y) + 2f(mx), where m  2 is a positive integer, and then investigate the generalized Hyers–Ulam stability of this equation in quasi-Banach spaces.

목차

1. Introduction and preliminaries

2. Solution of Eq. (1.2)

3. Generalized Hyers–Ulam stability of Eq. (1.2)

References