Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE HYERS-ULAM-RASSIAS STABILITY OF THE GENERALIZED POLYNOMIAL FUNCTION OF DEGREE 2

  • Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
  • Received : 2009.03.12
  • Accepted : 2009.05.15
  • Published : 2009.06.30
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Abstract

In this paper, we prove the stability of the functional equation $$\sum_{i=0}^3_3C_i(-1)^{3-i}f(ix+y)=0$$ in the sense of Th.M.Rassias on the punctured domain. Also, we investigate the superstability of the functional equation.

Keywords

Acknowledgement

Supported by : Gongju National University of Education

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