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