The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

Paper Information

Paper Title:

The Functional Equation With an Exponential Polynomial Solution and its Stability

Author(s):

Young Whan Lee1, Gwang Hui Kim2*, and Jeong Il Kim3

1Department of Computer Hacking and Information Security,
College of Engineering, Daejeon University,
Daejeon, 34520,
Korea(Republic of).
E-mail: ywlee@dju.ac.kr

2Department of Mathematics,
Kangnam University,
Yongin, Gyeonggi, 16979,
Korea(Republic of).
E-mail: i
ghkim@kangnam.ac.kr

3Department of Statistics,
Daejeon University,
Daejeon 34520,
Korea(Republic of).
E-mail: jlkim@dju.ac.kr

Abstract:

In this paper, we prove that the unique continuous solution of the functional equation

is

where pn(x) is a polynomial with degree n and

We also obtain the superstability and stability of the functional equation with the following forms, respectively:

 

and

Full Text PDF:


2004-2021 Austral Internet Publishing