STABILITY OF TWO GENERALIZED 3-DIMENSIONAL QUADRATIC FUNCTIONAL EQUATIONS

• 발행기관: 충청수학회
• 저자명: Sun-Sook Jin Yang-Hi Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 31, No. 1, 29~42쪽, 전체 14쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2018.02.28

영문 초록

In this paper, we investigate the stability of two func-tional equations f (ax+by + cz) - abf (x + y) - bcf (y + z) - acf (x + z) + bcf (y) - a(a - b - c)f (x) - b(b - a)f (-y) - c(c - a - b)f (z) = 0, f (ax+by + cz) + abf (x - y) + bcf (y - z) + acf (x - z)- a(a + b + c)f (x) - b(a + b + c)f (y) - c(a + b + c)f (z) = 0 by applying the direct method in the sense of Hyers and Ulam.

목차

1. Introduction

2. Stability of the functional equation (1.2)

3. Stability of the functional equation (1.3)