ON THE GENERALIZED HYERS-ULAM STABILITY OF A CUBIC FUNCTIONAL EQUATION

  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lee, Sang-Baek (Department of Mathematics Chungnam National University)
  • Received : 2006.03.29
  • Published : 2006.06.30

Abstract

The generalized Hyers-Ulam stability problems of the cubic functional equation f(x + y + z) + f(x + y - z) + 2f(x - y) + 4f(y) = f(x - y + z) + f(x - y - z) +2f(x + y) + 2f(y + z) + 2f(y - z) shall be treated under the approximately odd condition and the behavior of the cubic mappings and the additive mappings shall be investigated. The generalized Hyers-Ulam stability problem for functional equations had been posed by Th.M. Rassias and J. Tabor [7] in 1992.

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