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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Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1858/ http://journalarticle.ukm.my/1858/ |
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ukm-1858 |
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eprints |
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ukm-18582011-06-15T04:50:00Z http://journalarticle.ukm.my/1858/ Stability of a 3-variable quadratic functional equation K. Ravi, M. Arunkumar , 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 Penerbit ukm 2008-07 Article PeerReviewed K. Ravi, and M. Arunkumar , (2008) Stability of a 3-variable quadratic functional equation. Journal of Quality Measurement and Analysis, 4 (1). pp. 97-107. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| description |
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 |
| format |
Article |
| author |
K. Ravi, M. Arunkumar , |
| spellingShingle |
K. Ravi, M. Arunkumar , Stability of a 3-variable quadratic functional equation |
| author_facet |
K. Ravi, M. Arunkumar , |
| author_sort |
K. Ravi, |
| title |
Stability of a 3-variable quadratic functional equation |
| title_short |
Stability of a 3-variable quadratic functional equation |
| title_full |
Stability of a 3-variable quadratic functional equation |
| title_fullStr |
Stability of a 3-variable quadratic functional equation |
| title_full_unstemmed |
Stability of a 3-variable quadratic functional equation |
| title_sort |
stability of a 3-variable quadratic functional equation |
| publisher |
Penerbit ukm |
| publishDate |
2008 |
| url |
http://journalarticle.ukm.my/1858/ http://journalarticle.ukm.my/1858/ |
| first_indexed |
2023-09-18T19:34:31Z |
| last_indexed |
2023-09-18T19:34:31Z |
| _version_ |
1777405181694050304 |