Papers
A functional equation originating from quadratic forms
- AuthorJae-Hyeong Bae and Won-Gil Park
- JournalJournal of Mathematical Analysis and Applications 326/2 (2007
- Link https://doi.org/10.1016/j.jmaa.2006.03.023
- Classification of papersSCI
In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equationf(x+y,z+w)+f(x−y,z−w)=2f(x,z)+2f(y,w). The quadratic form f(x,y)=ax2+bxy+cy2 is a solution of the above functional equation.？
In this paper, we obtain the general solution and the stability of the 2-variable quadratic functional equationf(x+y,z+w)+f(x−y,z−w)=2f(x,z)+2f(y,w). The quadratic form f(x,y)=ax2+bxy+cy2 is a solution of the above functional equation.？