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...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/219435 |
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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 |