The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION

  • Jun, Kil-Woung (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Lee, Yang-Hi (DEPARTMENT OF MATHEMATICS EDUCATION, GONGJU NATIONAL UNIVERSITY OF EDUCATION) ;
  • Oh, Jeong-Ha (DEPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • Received : 2010.02.17
  • Accepted : 2010.08.18
  • Published : 2010.08.31
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Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation $4f(\frac{x\;+\;y}{2},\;\frac{z\;+\;w}{2})$ = f(x, z) + f(x, w) + f(y, z) + f(y, w). Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.

Keywords

References

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