A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations. (17th February 2015)

• Record Type: Journal Article
• Authors: Lee, Yang-Hi; Jung, Soon-Mo
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-02-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/643969
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations. This uniqueness theorem can replace the repeated proofs for uniqueness of the relevant solutions of given equations while we investigate the stability of functional equations.