Generalized Stability of Euler-Lagrange Quadratic Functional Equation

Autor: Hark-Mahn Kim, Min-Young Kim
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