Stability of a Quartic Functional Equation in Restricted Domains. (26th July 2016)

• Record Type: Journal Article
• Authors: Chung, Jaeyoung; Ju, Yu-Min
• Other Names: Leśniak Zbigniew Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/1804206
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Let X be a real normed space and Y a Banach space and f : X → Y . We prove the Ulam-Hyers stability theorem for the quartic functional equation f ( 2 x + y ) + f ( 2 x - y ) - 4 f ( x + y ) - 4 f ( x - y ) - 24 f ( x ) + 6 f ( y ) = 0 in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality when f : R → Y .