Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

ON THE SUPERSTABILITY OF THE FUNCTIONAL EQUATION f$(x_1+…+x_m)$ f$(x_1)$…f$(x_m)$

  • Jung, Soon-Mo (Mathematics Section College of Science & Technology Hong-Ik University)
  • Published : 1999.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

First, we shall improve the superstability result of the exponential equation f(x+y)=f(x) f(y) which was obtained in [4]. Furthermore, the superstability problems of the functional equation f(x\ulcorner+…+x\ulcorner)=f(x\ulcorner)…f(x\ulcorner) shall be investigated in the special settings (2) and (9).

Keywords

References

  1. Proc. Amer. Math. Soc. v.80 The stabilty of the cosine equation J. Baker
  2. Proc. Amer. Math. Soc. v.74 The Stability of the equation f(x+y) = f(x)f(y) J. Baker;J. Lawrence;F. Zorzitto
  3. Proc. Nat. Acad. Sci. U.S.A. v.27 On the stability of the linear functional equation D.H. Hyers
  4. Comm. Korean Math. Soc. v.12 On the superstability of some functional inequalities with the unbounded Cauchy difference f(x+y) - f(x)f(y) S.-M. Jung
  5. Dynamic Systems and Applications v.6 Hyers-Ulam-Rassias stability of functional equations S.-M. Jung
  6. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassians
  7. Problems in modern mathematics S.M. Ulam