On the Solution of a Multi-Variable Bi-Additive Fuctional Equation I

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2006, v.13 no.4, pp.295-301

Park, Won-Gil (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES)
Bae, Jae-Hyeong (DEPARTMENT OF MATHEMATICAL AND APPLIED MATHEMATICS, KYUNG HEE UNIVERSITY)

Park, Won-Gil, & Bae, Jae-Hyeong. (2006). ON THE SOLUTION OF A MULTI-VARIABLE BI-ADDITIVE FUNCTIONAL EQUATION I. 한국수학교육학회지시리즈B:순수및응용수학, 13(4), 295-301.

복사

Abstract

We Investigate the relation between the multi-variable bi-additive functional equation f(x+y+z,u+v+w)=f(x,u)+f(x,v)+f(x,w)+f(y,u)+f(y,v)+f(y,w)+f(z,u)+f(z,v)+f(z,w) and the multi-variable quadratic functional equation g(x+y+z)+g(x-y+z)+g(x+y-z)+g(-x+y+z)=4g(x)+4g(y)+4g(z). Furthermore, we find out the general solution of the above two functional equations.

keywords: solution, multi-variable bi-additive mapping

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논문 상세

Vol.13 No.4

ON THE SOLUTION OF A MULTI-VARIABLE BI-ADDITIVE FUNCTIONAL EQUATION I

On the Solution of a Multi-Variable Bi-Additive Fuctional Equation I

Abstract

한국수학교육학회지시리즈B:순수및응용수학