Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation
We study general solutions and generalized Hyers-Ulam-Rassias stability of the following 𝑛-dimensional functional equation ∑𝑓(𝑘𝑖=1𝑥𝑖∑)+(𝑘−2)𝑘𝑖=1𝑓(𝑥𝑖∑)=𝑘𝑖=1∑𝑘𝑗=1,𝑗>𝑖𝑓(𝑥𝑖+𝑥𝑗), 𝑘≥3, on non-Archimedean normed spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/326951 |
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| author | M. Janfada R. Shourvazi |
| author_facet | M. Janfada R. Shourvazi |
| author_sort | M. Janfada |
| collection | DOAJ |
| description | We study general solutions and generalized Hyers-Ulam-Rassias
stability of the following 𝑛-dimensional functional equation ∑𝑓(𝑘𝑖=1𝑥𝑖∑)+(𝑘−2)𝑘𝑖=1𝑓(𝑥𝑖∑)=𝑘𝑖=1∑𝑘𝑗=1,𝑗>𝑖𝑓(𝑥𝑖+𝑥𝑗), 𝑘≥3, on non-Archimedean normed spaces. |
| format | Article |
| id | doaj-art-7833140b05a94a8e8f0369f81cc0a91e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7833140b05a94a8e8f0369f81cc0a91e2025-02-03T06:13:14ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/326951326951Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional EquationM. Janfada0R. Shourvazi1Department of Mathematics, Sabzevar Tarbiat Moallem University, P.O. Box 397, Sabzevar, IranDepartment of Mathematics, Sabzevar Tarbiat Moallem University, P.O. Box 397, Sabzevar, IranWe study general solutions and generalized Hyers-Ulam-Rassias stability of the following 𝑛-dimensional functional equation ∑𝑓(𝑘𝑖=1𝑥𝑖∑)+(𝑘−2)𝑘𝑖=1𝑓(𝑥𝑖∑)=𝑘𝑖=1∑𝑘𝑗=1,𝑗>𝑖𝑓(𝑥𝑖+𝑥𝑗), 𝑘≥3, on non-Archimedean normed spaces.http://dx.doi.org/10.1155/2011/326951 |
| spellingShingle | M. Janfada R. Shourvazi Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation Abstract and Applied Analysis |
| title | Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation |
| title_full | Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation |
| title_fullStr | Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation |
| title_full_unstemmed | Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation |
| title_short | Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation |
| title_sort | solutions and the generalized hyers ulam rassias stability of a generalized quadratic additive functional equation |
| url | http://dx.doi.org/10.1155/2011/326951 |
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