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논문

A functional equation originating from quadratic forms

https://doi.org/10.1016/j.jmaa.2006.03.023

  • 저자Jae-Hyeong Bae and Won-Gil Park
  • 학술지Journal of Mathematical Analysis and Applications 326/2
  • 등재유형
  • 게재일자(2007)
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.?

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