바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
사전등록 바로가기
 

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

논문 상세

다음
논문 투고

Vol.15 No.2

Citation Share

A FUNCTIONAL EQUATION ON HOMOGENEOUS POLYNOMIALS

A FUNCTIONAL EQUATION ON HOMOGENEOUSPOLYNOMIALS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.2, pp.103-110
Bae, Jae-Hyeong (COLLEGE OF LIBERAL ARTS, KYUNG HEE UNIVERSITY)
Park, Won-Gil (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES)
Bae, Jae-Hyeong, & Park, Won-Gil. (2008). A FUNCTIONAL EQUATION ON HOMOGENEOUS POLYNOMIALS. 한국수학교육학회지시리즈B:순수및응용수학, 15(2), 103-110.

Abstract

In this paper, we obtain the general solution and the stability of the cubic functional equation f(2x + y, 2z + w) + f(2x - y, 2z - w) = 2f(x + y, z + w) + 2f(x - y, z - w) + 12f(x, z). The cubic form <TEX>$f(x,\;y)\;=\;ax^3\;+\;bx^2y\;+\;cxy^2\;+\;dy^3$</TEX> is a solution of the above functional equation.

keywords
solution, stability, cubic functional equation

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책