IJPAM: Volume 104, No. 3 (2015)

ULAM STABILITY OF A MIXED TYPE
ADDITIVE-QUARTIC FUNCTIONAL EQUATION

K. Ravi$^1$, S. Sabarinathan$^2$
$^{1,2}$Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, TamilNadu, INDIA


Abstract. In this paper, we obtain the generalized Hyers-Ulam stability of a the functional equation
\begin{multline*} f(2x+y)+f(x+2y)-9f(x+y)+f(x-y)\\ = f(2x)-7f(x)+8f(-y)+f(y). \end{multline*}


Received: July 17, 2015

AMS Subject Classification: 39B82, 39B72

Key Words and Phrases: additive functional equation, quartic functional equation, Hyers-Ulam stability

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DOI: 10.12732/ijpam.v104i3.9 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: 2015
Volume: 104
Issue: 3
Pages: 389 - 406


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