IJPAM: Volume 91, No. 1 (2014)

ON THE GENERALIZED HYERS-ULAM STABILITY
FOR EULER-LAGRANGE TYPE FUNCTIONAL EQUATION

A. Zivari-Kazempour
Department of Mathematics
Ayatollah Borujerdi University
Borujerd, IRAN


Abstract. In this paper we give the general solution of the quadratic functional equation

\begin{displaymath}
f(x+3y)+f(y+3z)+f(z+3x)-3f(x+y+z)=7 \big(f(x)+f(y)+f(z)\big),
\end{displaymath}

and investigate its generalized Hyers-Ulam-Rassias stability.

Received: October 26, 2013

AMS Subject Classification: 39B22, 39B52

Key Words and Phrases: quadratic functional equation, Hyers-Ulam-Rassias stability

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DOI: 10.12732/ijpam.v91i1.6 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 1