On the Stability of Quadratic Functional Equations in F-Spaces
The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/5636101 |
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| _version_ | 1832557041874370560 |
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| author | Xiuzhong Yang |
| author_facet | Xiuzhong Yang |
| author_sort | Xiuzhong Yang |
| collection | DOAJ |
| description | The Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved. |
| format | Article |
| id | doaj-art-99c0dda17e2b45638c67987ae94a1965 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-99c0dda17e2b45638c67987ae94a19652025-02-03T05:43:52ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/56361015636101On the Stability of Quadratic Functional Equations in F-SpacesXiuzhong Yang0College of Mathematics and Information Science, Hebei Normal University and Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, ChinaThe Hyers-Ulam-Rassias stability of quadratic functional equation f(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x) and orthogonal stability of the Pexiderized quadratic functional equation f(x+y)+f(x-y)=2g(x)+2h(y) in F-spaces are proved.http://dx.doi.org/10.1155/2016/5636101 |
| spellingShingle | Xiuzhong Yang On the Stability of Quadratic Functional Equations in F-Spaces Journal of Function Spaces |
| title | On the Stability of Quadratic Functional Equations in F-Spaces |
| title_full | On the Stability of Quadratic Functional Equations in F-Spaces |
| title_fullStr | On the Stability of Quadratic Functional Equations in F-Spaces |
| title_full_unstemmed | On the Stability of Quadratic Functional Equations in F-Spaces |
| title_short | On the Stability of Quadratic Functional Equations in F-Spaces |
| title_sort | on the stability of quadratic functional equations in f spaces |
| url | http://dx.doi.org/10.1155/2016/5636101 |
| work_keys_str_mv | AT xiuzhongyang onthestabilityofquadraticfunctionalequationsinfspaces |