A General Theorem on the Stability of a Class of Functional Equations Including Quartic-Cubic-Quadratic-Additive Equations
by
Yang-Hi Lee 1
and Soon-Mo Jung 2,*
Yang-Hi Lee 1 and Soon-Mo Jung 2,*
1
Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea
2
Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 282; https://doi.org/10.3390/math6120282
Received: 21 October 2018 / Revised: 13 November 2018 / Accepted: 21 November 2018 / Published: 26 November 2018
We prove general stability theorems for n-dimensional quartic-cubic-quadratic-additive type functional equations of the form by applying the direct method. These stability theorems can save us the trouble of proving the stability of relevant solutions repeatedly appearing in the stability problems for various functional equations.
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Keywords:
generalized Hyers–Ulam stability; functional equation; n-dimensional quartic-cubic-quadratic-additive type functional equation; direct method
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MDPI and ACS Style
Lee, Y.-H.; Jung, S.-M. A General Theorem on the Stability of a Class of Functional Equations Including Quartic-Cubic-Quadratic-Additive Equations. Mathematics 2018, 6, 282.
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