ON THE STABILITY OF A CUBIC FUNCTIONAL EQUATION

  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
  • Received : 2008.06.11
  • Accepted : 2008.08.18
  • Published : 2008.09.30

Abstract

In this paper, we prove the stability of the functional equation $$\sum\limits_{i=0}^{3}3Ci(-1)^{3-i}f(ix+y)-3!f(x)=0$$ in the sense of P. $G{\breve{a}}vruta$ on the punctured domain. Also, we investigate the superstability of the functional equation.

Keywords

Acknowledgement

Supported by : Korean Council for University Education