Stability for the Mixed Type of Quartic and Quadratic Functional Equations
We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y). Moreover we prove the Hyers-Ulam-Rassias stability of this equation under the approximately quartic and the approximately quadratic conditi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/853743 |
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| author | Young-Su Lee Soomin Kim Chaewon Kim |
| author_facet | Young-Su Lee Soomin Kim Chaewon Kim |
| author_sort | Young-Su Lee |
| collection | DOAJ |
| description | We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y). Moreover we prove the Hyers-Ulam-Rassias stability of this equation under the approximately quartic and the approximately quadratic conditions. |
| format | Article |
| id | doaj-art-b574d7ac94404dc1aabedd6f4a0e183f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b574d7ac94404dc1aabedd6f4a0e183f2025-02-03T06:12:12ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/853743853743Stability for the Mixed Type of Quartic and Quadratic Functional EquationsYoung-Su Lee0Soomin Kim1Chaewon Kim2Hana Academy Seoul, Seoul 121-741, Republic of KoreaHana Academy Seoul, Seoul 121-741, Republic of KoreaHana Academy Seoul, Seoul 121-741, Republic of KoreaWe establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y). Moreover we prove the Hyers-Ulam-Rassias stability of this equation under the approximately quartic and the approximately quadratic conditions.http://dx.doi.org/10.1155/2014/853743 |
| spellingShingle | Young-Su Lee Soomin Kim Chaewon Kim Stability for the Mixed Type of Quartic and Quadratic Functional Equations Journal of Function Spaces |
| title | Stability for the Mixed Type of Quartic and Quadratic Functional Equations |
| title_full | Stability for the Mixed Type of Quartic and Quadratic Functional Equations |
| title_fullStr | Stability for the Mixed Type of Quartic and Quadratic Functional Equations |
| title_full_unstemmed | Stability for the Mixed Type of Quartic and Quadratic Functional Equations |
| title_short | Stability for the Mixed Type of Quartic and Quadratic Functional Equations |
| title_sort | stability for the mixed type of quartic and quadratic functional equations |
| url | http://dx.doi.org/10.1155/2014/853743 |
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