Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces
We obtain the generalized Hyers-Ulam stability of the bi-quadratic functional equation f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4[f(x,z)+f(x,w)+f(y,z)+f(y,w)] in quasinormed spaces.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/472721 |
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doaj-d47010635ce44728a4ef12bb4a8872972020-11-24T21:01:37ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/472721Approximate Behavior of Bi-Quadratic Mappings in Quasinormed SpacesWon-Gil ParkJae-Hyeong BaeWe obtain the generalized Hyers-Ulam stability of the bi-quadratic functional equation f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4[f(x,z)+f(x,w)+f(y,z)+f(y,w)] in quasinormed spaces. http://dx.doi.org/10.1155/2010/472721 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Won-Gil Park Jae-Hyeong Bae |
| spellingShingle |
Won-Gil Park Jae-Hyeong Bae Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces Journal of Inequalities and Applications |
| author_facet |
Won-Gil Park Jae-Hyeong Bae |
| author_sort |
Won-Gil Park |
| title |
Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces |
| title_short |
Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces |
| title_full |
Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces |
| title_fullStr |
Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces |
| title_full_unstemmed |
Approximate Behavior of Bi-Quadratic Mappings in Quasinormed Spaces |
| title_sort |
approximate behavior of bi-quadratic mappings in quasinormed spaces |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
We obtain the generalized Hyers-Ulam stability of the bi-quadratic functional equation f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4[f(x,z)+f(x,w)+f(y,z)+f(y,w)] in quasinormed spaces. |
| url |
http://dx.doi.org/10.1155/2010/472721 |
| work_keys_str_mv |
AT wongilpark approximatebehaviorofbiquadraticmappingsinquasinormedspaces AT jaehyeongbae approximatebehaviorofbiquadraticmappingsinquasinormedspaces |
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1716777488473915392 |