The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON THE HYERS-ULAM-RASSIAS STABILITY OF A MODIFIED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION

  • Jun, Kil-Woung (Department of Mathematics, Chungnam National University) ;
  • Kim, Hark-Mann (Department of Mathematics, Chungnam National University) ;
  • Lee, Don-O (Information Center for Mathematical Sciences, Korea Advanced Institute of Science and Technology)
  • Published : 2004.11.01
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Abstract

In this paper, we solve the general solution of a modified additive and quadratic functional equation f(χ + 3y) + 3f(χ-y) = f(χ-3y) + 3f(χ+y) in the class of functions between real vector spaces and obtain the Hyers-Ulam-Rassias stability problem for the equation in the sense of Gavruta.

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