Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces
We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/417473 |
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| author | M. Eshaghi Gordji S. Zolfaghari J. M. Rassias M. B. Savadkouhi |
| author_facet | M. Eshaghi Gordji S. Zolfaghari J. M. Rassias M. B. Savadkouhi |
| author_sort | M. Eshaghi Gordji |
| collection | DOAJ |
| description | We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces. |
| format | Article |
| id | doaj-art-1d5c6a5ed6f348f585e458d6bd72ff09 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1d5c6a5ed6f348f585e458d6bd72ff092025-02-03T01:21:42ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/417473417473Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach SpacesM. Eshaghi Gordji0S. Zolfaghari1J. M. Rassias2M. B. Savadkouhi3Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranSection of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, 4, Agamemnonos Street, Aghia Paraskevi, 15342 Athens, GreeceDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranWe obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.http://dx.doi.org/10.1155/2009/417473 |
| spellingShingle | M. Eshaghi Gordji S. Zolfaghari J. M. Rassias M. B. Savadkouhi Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces Abstract and Applied Analysis |
| title | Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces |
| title_full | Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces |
| title_fullStr | Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces |
| title_full_unstemmed | Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces |
| title_short | Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces |
| title_sort | solution and stability of a mixed type cubic and quartic functional equation in quasi banach spaces |
| url | http://dx.doi.org/10.1155/2009/417473 |
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