A general theorem on the stability of a class of functional equations including quadratic-additive functional equations

Yang-Hi Lee; Soon-Mo Jung

doi:10.1186/s40064-016-1771-y

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations

Springerplus. 2016 Feb 24:5:159. doi: 10.1186/s40064-016-1771-y. eCollection 2016.

Authors

Yang-Hi Lee¹, Soon-Mo Jung²

Affiliations

¹ Department of Mathematics Education, Gongju National University of Education, Gongju, 32553 Republic of Korea.
² Mathematics Section, College of Science and Technology, Hongik University, Sejong, 30016 Republic of Korea.

Abstract

We prove a general stability theorem of an n-dimensional quadratic-additive type functional equation [Formula: see text]by applying the direct method.

Keywords: Direct method; Functional equation; Generalized Hyers-Ulam stability; n-dimensional quadratic-additive type functional equation.