Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION ON GROUPS

  • FAIZIEV VALERH A. (TVER STATE AGRICULTURAL ACADEMY) ;
  • SAHOO PRASANNA K. (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LOUISVILLE)
  • Published : 2005.11.01
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Abstract

In this paper we establish the stability of a Jensen type functional equation, namely f(xy) - f($xy^{-1}$) = 2f(y), on some classes of groups. We prove that any group A can be embedded into some group G such that the Jensen type functional equation is stable on G. We also prove that the Jensen type functional equation is stable on any metabelian group, GL(n, $\mathbb{C}$), SL(n, $\mathbb{C}$), and T(n, $\mathbb{C}$).

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References

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