충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제21권3호
  • /
  • Pages.377-384
  • /
  • 2008
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

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)
  • 투고 : 2008.06.11
  • 심사 : 2008.08.18
  • 발행 : 2008.09.30
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초록

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.

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과제정보

연구 과제 주관 기관 : Korean Council for University Education