On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation

The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam−Rassias stability of the genera...

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Main Author: Yang-Hi Lee
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/6/510
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author Yang-Hi Lee
author_facet Yang-Hi Lee
author_sort Yang-Hi Lee
collection DOAJ
description The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam−Rassias stability of the general quintic functional equation and the general sextic functional equation.
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spelling doaj.art-17c25c04d7e04b55862205976f2414322022-12-21T23:59:22ZengMDPI AGMathematics2227-73902019-06-017651010.3390/math7060510math7060510On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional EquationYang-Hi Lee0Department of Mathematics Education, Gongju National University of Education, Gongju 32553, KoreaThe general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers−Ulam−Rassias stability of the general quintic functional equation and the general sextic functional equation.https://www.mdpi.com/2227-7390/7/6/510the stability of a functional equationgeneral quintic functional equationa general quintic mappinggeneral sextic functional equationa general sextic mapping
spellingShingle Yang-Hi Lee
On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
Mathematics
the stability of a functional equation
general quintic functional equation
a general quintic mapping
general sextic functional equation
a general sextic mapping
title On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
title_full On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
title_fullStr On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
title_full_unstemmed On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
title_short On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation
title_sort on the hyers ulam rassias stability of a general quintic functional equation and a general sextic functional equation
topic the stability of a functional equation
general quintic functional equation
a general quintic mapping
general sextic functional equation
a general sextic mapping
url https://www.mdpi.com/2227-7390/7/6/510
work_keys_str_mv AT yanghilee onthehyersulamrassiasstabilityofageneralquinticfunctionalequationandageneralsexticfunctionalequation