ON THE GENERALIZED HYERS–ULAM STABILITY OF A CUBIC FUNCTIONAL EQUATION

• 발행기관: 충청수학회
• 저자명: Kil-Woung Jun Sang-Baek Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 2, 1~8쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2006.06.30

영문 초록

The generalized Hyers–Ulam stability problems of the cubic functional equation f (x + y + z) + f (x + y − z) + 2f (x − y) + 4f (y) = f (x − y + z) + f (x − y − z) +2f (x + y) + 2f (y + z) + 2f (y − z) shall be treated under the approximately odd condition and the behavior of the cubic mappings and the additive mappings shall be investigated. The generalized Hyers–Ulam stability problem for functional equations had been posed by Th.M. Rassias and J. Tabor [7] in 1992.

목차

1. Introduction

2. Solution of the functional equation (2)

3. Stability of the cubic equation (2)