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Approximation of Pompeiu's Point

장익순|신환용
경북대학교 자연과학대학 수학과|2017.06|Kyungpook Mathematical Journal|제57권 제2호|pp. 245-250

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참고문헌

키워드

Hyers--Ulam stabilityPompeiu's pointMean value theorem.
주제분류수학

초록

In this paper, we obtain the refined stability of Pompeiu's points which extends a result of Huang and Li \cite{hu15}.

Abstract

In this paper, we obtain the refined stability of Pompeiu's points which extends a result of Huang and Li \cite{hu15}.

참고문헌 (16)

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  3. Y. J. Cho, "Stability of Functional Equations in Random Normed Spaces" (2013), Springer
  4. S. Czerwik, "Stability of Functional Equations of Ulam–Hyers–Rassias Type" (2003), Hadronic Press
  5. M. Das, "Hyers-Ulam stability of Flett’s points", Appl. Math. Lett., 16, pp.269~271 (2003)
  6. T. M. Flett, "A mean value theorem", Math. Gazette, 42, pp.38~39 (1958)
  7. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl., 184, pp.431~436 (1994)
  8. Jinghao Huang, "Hyers-Ulam Stability of Pompeiu's Point", Kyungpook Mathematical Journal, 55(1), pp.103~107 (2015), 경북대학교 자연과학대학 수학과[DOI]
  9. D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci. U. S. A., 27, pp.222~224 (1941)
  10. D. H. Hyers, "On the stability of differential expressions", Math. Mag., 28, pp.59~64 (1954)
  11. S. -M. Jung, "Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis" (2011), Springer
  12. H. -M. Kim, "Approximation of almost Sahoo–Riedel’s points by Sahoo–Riedel’s points", Aequationes Math., 90, pp.809815~ (2016)
  13. W. Lee, "Hyers-Ulam stability of Sahoo-Riedel’s point", Appl. Math. Lett., 22, pp.1649~1652 (2009)
  14. T. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72, pp.297~300 (1978)
  15. T. M. Rassias, "Functional Equations, Inequalities and Applications" (2003), Kluwer Academic Publishers
  16. S. M. Ulam, "Problems in Modern Mathematics" (1964), Wiley

관련 논문AI추천

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