ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION

• 발행기관: 충청수학회
• 저자명: Sang-Baek Lee Mi Hyun Han Won-Gil Park
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 2, 171~181쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.05.30

영문 초록

In this paper, for any ¯xed integer n > m ¸ 1, we investigate the generalized Hyers{Ulam stability of the following quadratic functional equation f(nx + my) + f(nx ¡ my) = mn[f(x + y) + f(x ¡ y)] + 2(n ¡ m)[nf(x) ¡ mf(y)] in p-Banach spaces, where 0 < p · 1. And we prove the same stability of the above functional equation in 2-Banach spaces.

목차

1. Introduction

2. Stability of (1.4) in p-Banach spaces

3. Stability of (1.4) in 2-Banach spaces