ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION IN BANACH MODULES

  • Bae, Jae-Hyeong (Department of Mathematics, Chungnam National University) ;
  • Jung, Yong-Soo (Department of Mathematics, Chungnam National University)
  • 발행 : 2002.12.01

초록

We extend the Hyers-Ulsam-Rassias stability of a quadratic functional equation f(χ+y+z)+f(χ-y)+f(y-Z)+f(χ-z) = 3f(χ)+3f(y)+3f(z) to Banach modules over a Banach algebra.

키워드

참고문헌

  1. Korean J. Comput. & Appl. Math. v.8 On the Ulam stability problem of a quadratic functional equation J.H.Bae;I.S.Chang
  2. Far East J. Math. Sci. v.3 On the generalized Hyers-Ulam stability of a quadratic mapping J.H.Bae;H.M.Kim
  3. Internat. J. Math. Math. Sci. v.18 On a general Hyers-Ulam stability result C.Borelli;G.Forti
  4. Aequationes Math. v.27 Remarks on the stability of functional equations P.W.Choewa
  5. Abh. Math. Sem. v.62 On the stability of the quadratic mapping in the normed space S.Czerwik
  6. J. Math. Anal. and Appl. v.184 A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings P.Gavruta
  7. Pro. Nat'l. Acad. Sci. U.S.A. v.27 On the stability of the linear functional equation D.H.Hyers
  8. Stability of Functional Equations in Several Variables D.H.Hyers;G.Isac;Th.M.Rassias
  9. Math. Ineq. Appl. v.4 On the Hyers-Ulam-Rassias stability of a Pexiderized quadratic inequality Y.H.Lee;K.W.Jun
  10. Proc. Amer. Math. Soc. v.72 On the satbility of the linear mapping in Banach spaces Th.M.Rassias
  11. Rend. Sem. Mat. Fis. Milano v.53 Proprieta locali e approssimazione di operatori F.Skof
  12. Problems in Modern Mathematics S.M.Ulam