Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces. (15th February 2021)

• Record Type: Journal Article
• Authors: Alessa, Nazek; Tamilvanan, K.; Loganathan, K.; Karthik, T. S.; Rassias, John Michael
• Other Names: Mitrovic Zoran Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-02-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5577833
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β -normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.