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Generalized Hyers-Ulam Stability of Some Cubic-quadratic-additive Type Functional Equations

Soon-Mo Jung|Yang-Hi Lee
경북대학교 자연과학대학 수학과|2020.03|Kyungpook Mathematical Journal|제60권 제1호|pp. 133-144|DOI 10.5666/KMJ.2020.60.1.133

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참고문헌

키워드

functional equationgeneralized Hyers-Ulam stabilitycubicquadratic-additive mapping
주제분류수학

초록

We will prove the generalized Hyers-Ulam stability of cubic-quadratic-additive type functional equations and general cubic functional equations whose solutions are cubicquadratic-additive mappings and general cubic mappings, respectively.

Abstract

We will prove the generalized Hyers-Ulam stability of cubic-quadratic-additive type functional equations and general cubic functional equations whose solutions are cubicquadratic-additive mappings and general cubic mappings, respectively.

참고문헌 (13)

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  8. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
  9. K. -W. Jun, "On the Hyers-Ulam-Rassias stability of a general cubic functional equation", Math. Inequal. Appl, 6, pp.289~302 (2003)
  10. Y. -H. Lee, "On the generalized Hyers-Ulam stability of the generalized polynomial function of degree 3", Tamsui Oxf. J. Math. Sci, 24(4), pp.429~444 (2008)
  11. Y. -H. Lee, "Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation", J. Math. Inequal, 12, pp.43~61 (2018)
  12. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  13. S. M. Ulam, "Problems in modern mathematics" (1964), Wiley & Sons

관련 논문AI추천

Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation이양희, 진선숙영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation이양희강원경기수학회 · 한국수학논문집2020 · 제28권 제2호A General Uniqueness Theorem concerning the Stability of AQCQ Type Functional Equations이양희, 정순모경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호On the Stability of a Quadratic Functional EquationJae-Hyeong Bae, Kil-Woung Jun, Soon-Mo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호

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