|
|
|
|
asymptotic behavior of generalized quadratic mappings
|
|
|
|
|
|
|
|
نویسنده
|
kim hark-mahn ,chang ick-soon
|
|
منبع
|
international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 1 - صفحه:1153 -1165
|
|
چکیده
|
We show in this paper that a mapping $f$ satisfies the following functional equationbegin{eqnarray*}biguplus_{x_2,cdots,x_{d+1}}^{d}f(x_1) = 2^{d} sum_{i=1}^{d+1}f(x_i),end{eqnarray*}if and only if it is quadratic. in addition, we investigate generalized hyers-ulam stability problem for the equation, and thus obtain an asymptotic property of quadratic mappings as applications.
|
|
کلیدواژه
|
stability ,parallel polyhedron equality ,generalized quadratic mappings
|
|
آدرس
|
chungnam national university99 daehangno, department of mathematics, korea, chungnam national university, department of mathematics, korea
|
|
پست الکترونیکی
|
ischang@cnu.ac.kr
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|