East Asian mathematical journal

  • 제35권3호
  • /
  • Pages.351-356
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  • 2019
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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ON THE HYERS-ULAM-RASSIAS STABILITY OF A GENERAL QUARTIC FUNCTIONAL EQUATION

  • Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
  • 투고 : 2019.05.01
  • 심사 : 2019.05.24
  • 발행 : 2019.05.31
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초록

In this paper, we investigate Hyers-Ulam-Rassias stability of the general quartic functional equation f(5x + y) - 5f(4x + y) + 10f(3x + y) - 10f(2x + y) + 5f(x + y) - f(y) = 0.

키워드

참고문헌

  1. J. Baker, A general functional equation and its stability, Proc. Natl. Acad. Sci. 133(6) (2005), 1657-1664.
  2. P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436. https://doi.org/10.1006/jmaa.1994.1211
  3. D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
  4. K.-W. Jun and H.-M. Kim, On the Hyers-Ulam-Rassias stability of a general cubic functional equation, Math. Inequal. Appl. 6 (2003), 289-302.
  5. Y.-H. Lee, On the generalized Hyers-Ulam stability of the generalized polynomial function of degree 3, Tamsui Oxford Journal of Mathematical Sciences 24(4) (2008), 429-444.
  6. Y.-H. Lee, On the Hyers-Ulam-Rassias stability of the generalized polynomial function of degree 2, J. Chungcheong Math. Soc. 22(2) (2009), 201-209.
  7. Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
  8. S.M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.

피인용 문헌

  1. On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation vol.7, pp.6, 2019, https://doi.org/10.3390/math7060510
  2. The Stability of a General Sextic Functional Equation by Fixed Point Theory vol.2020, 2020, https://doi.org/10.1155/2020/6497408
  3. Nearly General Septic Functional Equation vol.2021, 2019, https://doi.org/10.1155/2021/5643145
  4. ON THE STABILITY OF THE GENERAL SEXTIC FUNCTIONAL EQUATION vol.34, pp.3, 2019, https://doi.org/10.14403/jcms.2021.34.3.295