Generalized Stability of Euler-Lagrange Quadratic Functional Equation
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/219435 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566785610612736 |
|---|---|
| author | Hark-Mahn Kim Min-Young Kim |
| author_facet | Hark-Mahn Kim Min-Young Kim |
| author_sort | Hark-Mahn Kim |
| collection | DOAJ |
| description | The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that a≠-1,0 and b≠0. |
| format | Article |
| id | doaj-art-cb4e91e6a6834978b80d81ef1d85b6d0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cb4e91e6a6834978b80d81ef1d85b6d02025-02-03T01:03:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/219435219435Generalized Stability of Euler-Lagrange Quadratic Functional EquationHark-Mahn Kim0Min-Young Kim1Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaThe main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that a≠-1,0 and b≠0.http://dx.doi.org/10.1155/2012/219435 |
| spellingShingle | Hark-Mahn Kim Min-Young Kim Generalized Stability of Euler-Lagrange Quadratic Functional Equation Abstract and Applied Analysis |
| title | Generalized Stability of Euler-Lagrange Quadratic Functional Equation |
| title_full | Generalized Stability of Euler-Lagrange Quadratic Functional Equation |
| title_fullStr | Generalized Stability of Euler-Lagrange Quadratic Functional Equation |
| title_full_unstemmed | Generalized Stability of Euler-Lagrange Quadratic Functional Equation |
| title_short | Generalized Stability of Euler-Lagrange Quadratic Functional Equation |
| title_sort | generalized stability of euler lagrange quadratic functional equation |
| url | http://dx.doi.org/10.1155/2012/219435 |
| work_keys_str_mv | AT harkmahnkim generalizedstabilityofeulerlagrangequadraticfunctionalequation AT minyoungkim generalizedstabilityofeulerlagrangequadraticfunctionalequation |