대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권1호
  • /
  • Pages.103-111
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ON THE STABILITY OF N-DIMENSIONAL QUADRATIC FUNCTIONAL EQUATION

  • Bae, Jae-Hyeong (Department of Mathematics, Chungnam National University)
  • 발행 : 2001.01.01
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초록

In this paper, we investigate a generalization of the stability of a new quadratic functional equation f(∑(sub)i=1(sup)n x(sub)i)+∑(sub)1$\leq$i$\leq$n f(x(sub)i-x(sub)j) = n∑(sub)i=1(sup)n f(x(sub)i) (n$\geq$2) in the spirits of Hyers, Ulam, Rassias and Gavruta.

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참고문헌

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  2. Aequationes Math. v.27 Remarks on the stability of functional equations P. W. Cholewa
  3. Abh. Math. Sem. Univ. Hamburg v.62 On the stability of the quadratic mapping in normal spaces S. Czerwik
  4. J. Math. Anal. and Appl. v.184 A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings P. Gavruta
  5. Proc. Nat. Acad. Sci. U. S. A. v.27 On the stability of the linear functional equation D. H. Hyers
  6. J. Math. Anal. Appl. v.239 On Hyers-Ulam-Rassias stability of the pexider equation K. W. Jun;D. S. Shin;B. D. Kim
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  8. Results Math. v.27 Quadratic functional equation and inner product spaces PI. Kannappan
  9. Chinese J. Math. v.20 On the stability of the Euler-Lagrange functional equation Th. M. Rassias
  10. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassias
  11. Rend. Sem. Mat. Fis. Milano v.53 Proprieta localie approssimazione di operatori F. Skof
  12. Chap. Ⅵ Problems in Modern Mathematics S. M. Ulam