Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces. (15th August 2012)

• Record Type: Journal Article
• Authors: Kim, Hark-Mahn; Jun, Kil-Woung; Son, Eunyoung
• Other Names: Brillouet-Belluot Nicole Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-08-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/270954
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We prove the Hyers-Ulam stability of the following Jensen functional inequality ∥ f ( ( x - y ) / n + z ) + f ( ( y - z ) / n + x ) + f ( ( z - x ) / n + y ) ∥ ≤ ∥ f ( ( x + y + z ) ∥ in p -Banach spaces for any fixed nonzero integer n .