Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION

  • Jun, Kil-Woung (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY) ;
  • Lee, Yang-Hi (DEPARTMENT OF MATHEMATICS EDUCATION GONGJU NATIONAL UNIVERSITY OF EDUCATION) ;
  • Cho, Young-Sun (DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
  • Published : 2008.07.31
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Abstract

In this paper, we prove the stability of a Cauchy-Jensen functional equation $$2f(x+y,\;\frac{z+w}2)$$=f(x, z)+f(x, w)+f(y, z)+f(y, w) in the sense of Th. M. Rassias.

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References

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Cited by

  1. On an equation characterizing multi-cauchy-jensen mappings and its Hyers-Ulam stability vol.35, pp.6, 2015, https://doi.org/10.1016/S0252-9602(15)30059-X
  2. On Stability and Hyperstability of an Equation Characterizing Multi-Cauchy–Jensen Mappings vol.73, pp.2, 2018, https://doi.org/10.1007/s00025-018-0815-8