Generalized Hyers-Ulam Stability of Quadratic Functional Inequality. (17th November 2013)

• Record Type: Journal Article
• Authors: Kim, Hark-Mahn; Jun, Kil-Woung; Son, Eunyoung
• Other Names: Ciepliński Krzysztof Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-11-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/564923
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We establish the general solution of the functional inequality f x - y + f y - z + f x - z - 3 f x - 3 f y - 3 f z ≤ f x + y + z and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.