ON THE STABILITY OF AN AQCQ-FUNCTIONAL EQUATION

• 발행기관: 충청수학회
• 저자명: Choon kil Park Sung Woo Jo Dong Yeong Kho
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 757~770쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x (0.1) − 2y) = 4f(x + y) + 4f(x − y) −6f(x) + f(2y) + f(−2y) − 4f(y) − 4f(−y) in Banach spaces.

목차

1. Introduction and preliminaries

2. Generalized Hyers-Ulam stability of the functional equation (0.1): an odd case

3. Generalized Hyers-Ulam stability of the functional equation (0.1): an even case

Acknowledgments.

References