Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

PARTITIONED FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS

  • Chung, Bo-Hyun (Mathematics Scetion, College of Science and Technology, Hong-Ik University) ;
  • Bae, Jae-Hyeong (Department of Mathematics, Chungnam National University) ;
  • Park, Won-Gil (Department of Mathematics, Chungnam National University)
  • 발행 : 2004.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

We prove the generalized Hyers-Ulam-Rassias stability of a partitioned functional equation. It is applied to show the stability of algebra homomorphisms between Banach algebras associated with partitioned functional equations in Banach algebras.

키워드

참고문헌

  1. J. Math. Anal. Appl. v.276 On approximate ring homomorphisms R. Badora
  2. Math. Ineq. Appl. Paartitioned functional equations in Banach modules and approximate algebra homomorphisms K.-W. Jun;J.-H. Bae;W.-G. Park
  3. Duke Math. J. v.16 Approximately isometric and multiplicative transformations on continuous function rings D. G. Bourgin
  4. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassias
  5. J. Math. Anal. Appl. v.272 On the stability of a functional equation deriving from an inequality of T. Popoviciu for convex functions T. Trif