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pISSN 1225-6951
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Kyungpook Mathematical Journal 2020; 60(1): 133-144

Published online March 31, 2020

Copyright © Kyungpook Mathematical Journal.

Generalized Hyers-Ulam Stability of Some Cubic-quadraticadditive Type Functional Equations

Yang-Hi Lee, Soon-Mo Jung∗

Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Republic of Korea
e-mail : yanghi2@hanmail.net
Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, Republic of Korea
e-mail : smjung@hongik.ac.kr

Received: August 8, 2019; Revised: January 11, 2020; Accepted: February 10, 2020

Abstract

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

Keywords: generalized Hyers-Ulam stability, functional equation, cubicquadratic-additive mapping.