Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces

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.

Bibliographic Details
Main Authors: Hark-Mahn Kim, Kil-Woung Jun, Eunyoung Son
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/270954