IJPAM: Volume 63, No. 4 (2010)
ORTHOGONAL STABILITY OF 2 DIMENSIONAL MIXED
TYPE ADDITIVE AND QUARTIC FUNCTIONAL EQUATION
TYPE ADDITIVE AND QUARTIC FUNCTIONAL EQUATION
M. Arunkumar
, S. Hema Latha
Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Tamil Nadu, INDIA
e-mail: annarun2002@yahoo.co.in
Department of Mathematics
Annai Veilankanni's College of Arts and Science
Saidapet, Chennai, 600 015, Tamil Nadu, INDIA
e-mail: hemsjes@yahoo.co.in
, S. Hema Latha
Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Tamil Nadu, INDIA
e-mail: annarun2002@yahoo.co.in
Department of Mathematics
Annai Veilankanni's College of Arts and Science
Saidapet, Chennai, 600 015, Tamil Nadu, INDIA
e-mail: hemsjes@yahoo.co.in
Abstract.In this paper, the authors investigate the orthogonal stability of 2 dimensional mixed type additive and quartic functional equation of the form
![\begin{multline*}
7[f(2x+y)+f(2x-y)]\\
= 28[f(x+y)+f(x-y)]-3[f(2y)-2f(y)]+14[f(2x)-4f(x)],
\end{multline*}](img3.png){kind=small}
with 
, where 
is orthogonality in the sense of Ratz.
Received: May 8, 2010
AMS Subject Classification: 39B55, 39B52, 39B82, 46H25
Key Words and Phrases: Hyers-Ulam-Aoki-Rassias stability, Ulam-Gavruta-Rassias stability, J.M. Rassias stability, additive functional equation, quartic functional equation, orthogonality space
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 4