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
| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1858/ |
| _version_ | 1848809677522993152 |
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| author | K. Ravi, M. Arunkumar , |
| author_facet | K. Ravi, M. Arunkumar , |
| author_sort | K. Ravi, |
| 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 |
| first_indexed | 2025-11-14T23:18:25Z |
| format | Article |
| id | ukm-1858 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:25Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | K. Ravi, M. Arunkumar , Stability of a 3-variable quadratic functional equation |
| title | 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_short | Stability of a 3-variable quadratic functional equation |
| title_sort | stability of a 3-variable quadratic functional equation |
| url | http://journalarticle.ukm.my/1858/ http://journalarticle.ukm.my/1858/ |