Generalized Stability of Euler-Lagrange Quadratic Functional Equation
Autor: | Hark-Mahn Kim, Min-Young Kim |
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Jazyk: | angličtina |
Rok vydání: | 2012 |
Předmět: | |
Zdroj: | Abstract and Applied Analysis, Vol 2012 (2012) |
Druh dokumentu: | article |
ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2012/219435 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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