Stability of a 3-variable quadratic functional equation
In this paper, the authors discuss the general solution and the stability of a 3-variable quadratic functional equation f(x+y,z+w,u+v)+ f(x-y,z-w,u-v)= 2f(x, z,u)+ 2f(y,w,v). The quadratic form f (x,y,z)=ax2+by2+cz2+d xy+e yz+f zx is found to be the solution of the above functional equation
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1858/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| Institution: | Universiti Kebangsaan Malaysia |
| Summary: | In this paper, the authors discuss the general solution and the stability of a 3-variable quadratic
functional equation f(x+y,z+w,u+v)+ f(x-y,z-w,u-v)= 2f(x, z,u)+ 2f(y,w,v).
The quadratic form f (x,y,z)=ax2+by2+cz2+d xy+e yz+f zx is found to be the
solution of the above functional equation |
|---|