충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제19권3호
  • /
  • Pages.245-261
  • /
  • 2006
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

APPROXIMATE RING HOMOMORPHISMS OVER p-ADIC FIELDS

  • Park, Choonkil (Department of Mathematics Hanyang University) ;
  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lu, Gang (Department of Mathematics Chungnam National University)
  • 투고 : 2006.07.21
  • 발행 : 2006.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we prove the generalized Hyers-Ulam stability of ring homomorphisms over the p-adic field $\mathbb{Q}_p$ associated with the Cauchy functional equation f(x+y) = f(x)+f(y) and the Cauchy-Jensen functional equation $2f(\frac{x+y}{2}+z)=f(x)+f(y)+2f(z)$.

키워드