Nearly Quadratic Mappings over p-Adic Fields
We establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/285807 |
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doaj-8a0cb5bf4f3445d49d7c1ba0e0fcd8e22020-11-24T23:22:20ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/285807285807Nearly Quadratic Mappings over p-Adic FieldsM. Eshaghi Gordji0H. Khodaei1Gwang Hui Kim2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of KoreaWe establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2.http://dx.doi.org/10.1155/2012/285807 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Eshaghi Gordji H. Khodaei Gwang Hui Kim |
| spellingShingle |
M. Eshaghi Gordji H. Khodaei Gwang Hui Kim Nearly Quadratic Mappings over p-Adic Fields Abstract and Applied Analysis |
| author_facet |
M. Eshaghi Gordji H. Khodaei Gwang Hui Kim |
| author_sort |
M. Eshaghi Gordji |
| title |
Nearly Quadratic Mappings over p-Adic Fields |
| title_short |
Nearly Quadratic Mappings over p-Adic Fields |
| title_full |
Nearly Quadratic Mappings over p-Adic Fields |
| title_fullStr |
Nearly Quadratic Mappings over p-Adic Fields |
| title_full_unstemmed |
Nearly Quadratic Mappings over p-Adic Fields |
| title_sort |
nearly quadratic mappings over p-adic fields |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
We establish some stability results over p-adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n∈N and n≥2. |
| url |
http://dx.doi.org/10.1155/2012/285807 |
| work_keys_str_mv |
AT meshaghigordji nearlyquadraticmappingsoverpadicfields AT hkhodaei nearlyquadraticmappingsoverpadicfields AT gwanghuikim nearlyquadraticmappingsoverpadicfields |
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