Bulletin of the Korean Mathematical Society
( Vol.42 NO.1 / 2005 )
|
|
 |
Title |
 |
|
On the Hyers-Ulam stability of a generalized quadratic and additive functional equation(eng) |
|
|
Author |
|
|
Kil-Woung Jun ,Hark-Mahn Kim |
|
|
MSC |
|
|
39A11, 39B72 |
|
|
Publication |
|
|
|
|
|
Page |
|
|
133-148 Page |
|
|
Abstract |
|
|
1. Introduction
2. General solution of (\ref{aqf6}
3. Stability of (\ref{aqf6})
|
|
|
Own Status |
|
|
|
|
|
Keyword |
|
|
Hyers-Ulam stability, quadratic function |
|
|
Note |
|
|
|
|
|
Summary |
|
|
In this paper, we obtain the general solution of a generalized
quadratic and additive type functional equation
egin{eqnarray}
onumber
f(x+ay)+a f(x-y)=f(x-ay)+a f(x+y)
end{eqnarray}
for any integer $a$ with $a
eq -1,0,1$ in the class of functions
between real vector spaces and investigate the generalized
Hyers-Ulam stability problem for the equation. |
|
|
Attach |
|
|
DVI PDF |
|
|
|
|
|