본문 바로가기
KERD
논문KCI 등재

Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we investigate Hyers-Ulam-Rassias stability of an additive-quartic functional equation, of a quadratic-quartic functional equation, and of a cubic-quartic functional equation.

Abstract

In this paper, we investigate Hyers-Ulam-Rassias stability of an additive-quartic functional equation, of a quadratic-quartic functional equation, and of a cubic-quartic functional equation.

참고문헌 (20)

  1. S. Abbaszadeh, "Intutionistic fuzzy stability of a quadratic and quartic functional equa-tion", Int. J. Nonlinear Anal. Appl, 1, pp.100~124 (2010)
  2. J. Baker, "A general functional equation and its stability", Proc. Natl. Acad. Sci, 133(6), pp.1657~1664 (2005)
  3. A. Bodaghi, "Stability of a mixed type additive and quartic functional equation", Filomat, 28(8), pp.1629~1640 (2014)
  4. A. Bodaghi, "Approximate mixed type additive and quartic functional equation", Bol. Soc. Paran. Mat, 35(1), pp.43~56 (2017)
  5. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately ad-ditive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
  6. M. E. Gordji, "Stability of a functional equation deriving from quartic and additive func-tions", arXiv preprint arXiv:0812.5025, ~ (2008)
  7. M. E. Gordji, "On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces", J. Inequal. Appl (2009)
  8. M. E. Gordji, "Stability of a functional equation deriving from cubic and quartic functions", Abstr. Appl. Anal (2008)
  9. M. E. Gordji, "Stability of a mixed type cubic-quartic functional equa-tion in non-archimedean spaces", Appl. Math. Lett, 23, pp.1198~1202 (2010)
  10. M. E. Gordji, "Quadratic-quartic functional equations in RN-spaces", J. Inequal. Appl (2009)
  11. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U. S. A, 27, pp.222~224 (1941)
  12. 장선영, "Fuzzy stability of a cubic-quartic functional equation: a fixed point approach", 대한수학회보, 48(3), pp.491~503 (2011), 대한수학회
  13. H. -M. Kim, "On the stability problem for a mixed type of quartic and quadratic functional equation", J. Math. Anal. Appl, 324, pp.358~372 (2006)
  14. J. -R. Lee, "Orthogonal stability of a cubic-quartic functional equation in non-archimedean spaces", J. Comput. Anal. Appl, 15, pp.572~583 (2013)
  15. C. -K. Park, "Orthogonal stability of a cubic-quartic functional equation", Journal of Non-linear Sciences & Applications(JNSA), 5, pp.28~36 (2012)
  16. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  17. S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience
  18. Z. Wang, "Stability of the generalized quadratic and quartic type func-tional equation in non-archimedean fuzzy normed spaces", J. Appl. Anal. Comput, 6, pp.917~938 (2016)
  19. T. Z. Xu, "A generalized mixed quadratic-quartic functional equation", Bull. Malays. Math. Sci. Soc, 35(3), pp.633~649 (2012)
  20. X. Zhao, "Solution and stability of a general mixed type cubic and quartic functional equation", J. Funct. Spaces Appl (2013)

관련 논문AI추천

이 간행물의 다른 논문 (9건)