The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS

  • Kim, Hark-Mahn (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Son, Eun-Yonug (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • Published : 2009.08.31
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Abstract

In this paper, we obtain the general solution and the generalized HyersUlam stability theorem for an additive functional equation $af(x+y)+2f({\frac{x}{2}}+y)+2f(x+{\frac{y}{2})=(a+3)[f(x)+f(y)]$for any fixed integer a.

Keywords

References

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