Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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STABILITY OF A CUBIC FUNCTIONAL EQUATION IN p-BANACH SPACES

  • Lee, Sang-Baek (Department of Mathematics Chungnam National University) ;
  • Park, Won-Gil (Department of Mathematics Education Mokwon University)
  • Received : 2011.05.19
  • Accepted : 2011.11.18
  • Published : 2011.12.30
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Abstract

In this paper, we investigate the stability of a cubic functional equation $$f(x+ny)+f(x-ny)+f(nx)=n^2f(x+y)+n^2f(x-y)+(n^3-2n^2+2)f(x)$$ in p-Banach spaces and in Banach modules, where $n{\geq}2$ is an integer.

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References

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