본문 바로가기
KERD
논문KCI 등재

On the Hyers-Ulam stability of a generalized quadratic and additive functional equation

김학만|전길웅
대한수학회 (The Korean Mathematical Society)|2005.02|대한수학회보 (Bulletin of the KMS)|제42권 제1호|pp. 133-148

2

조회

0

다운로드

4

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper, we obtain the general solution of a generalizedquadratic and additive type functional equationbegin{eqnarray}nonumberf(x+ay)+a f(x-y)=f(x-ay)+a f(x+y)end{eqnarray}for any integer a with a neq -1,0,1 in the class of functionsbetween real vector spaces and investigate the generalizedHyers-Ulam stability problem for the equation.

참고문헌 (17)

  1. "newblock Functional Equations in Several Variables" (1989), newblock Cambridge Univ. Press
  2. J. H. Bae, "newblock On the generalized Hyers-Ulam-Rassias stability of ann-dimensional quadratic functional equation", 258, pp.183~193 (2001)
  3. "newblock The stability of the cosine equation", 80, pp.411~ (1980)
  4. "newblock On the Hyers-Ulam stability of quadratic functional equations", 3(3) (2002)
  5. "newblock On the stability of thequadratic mapping in normed spaces", 62, pp.59~ (1992)
  6. "newblock A generalization of the Hyers-Ulam-Rassias Stability ofapproximately additive mappings", 184, pp.431~ (1994)
  7. "newblock On the stability of the linear functional equation", 27, pp.222~ (1941)
  8. "newblock ``Stability of Functional Equations in Several Variables''" (1998)
  9. "newblock On the asymptoticity aspect of Hyers-Ulam stability of mappings", 126, pp.425~430 (1998)
  10. "newblock Approximate homomorphisms", 44, pp.125~ (1992)
  11. "newblock Remarks on the stability of additive functional equation", 38, pp.679~687 (2001)
  12. "newblock On the Hyers-Ulam-Rassias stability of a generalized quadratic equation", 38, pp.261~272 (2001)
  13. "^newblock On the Hyers-Ulam-Rassias stability ofa pexiderized quadratic inequality", 4, pp.93~118 (2001)
  14. "newblock On the Hyers-Ulam stability ofthe functional equations that have the quadratic property", 222, pp.126~ (1998)
  15. "newblock Inner product spaces and applications" (1997)
  16. "newblock On the stability of functionalequations in Banach spaces", 251, pp.264~284 (2000)
  17. "newblock Problems in Modern Mathematics", vi (1964)

관련 논문AI추천

On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation김학만, 전길웅, Don O Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호Hyers-Ulam-Rassias stability of a quadratic functional equationTiberiu Trif대한수학회 · 대한수학회보2003 · 제40권 제2호Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, IIKil-Woung Jun, Yang-Hi Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호Hyers-Ulam-Rassias stability of a quadratic type functionalequation전길웅, Sang Han Lee대한수학회 · 대한수학회보2003 · 제40권 제2호

이 간행물의 다른 논문 (20건)

On a conformal Killing vector fields in a compact almost Kahlerian manifols전재복, Kazuhiko Takanopp. 1-4Conformal transformations in a twisted product space강태호, 김병학, 정승달, 박홍경pp. 5-15A higher order monotone iterative scheme for nonlinear Neumann boundary value problemsBashir Ahmad, Uzma Naz, Rahmat A. Khanpp. 17-22Rotation surfaces with 1-type Gauss mapAthoumane Niangpp. 23-27Some results on the stability of the homogeneous functionsS. Czerwikpp. 29-37
원문 보기