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

Hark-Mahn Kim, Kil-Woung Jun and Eunyoung Son

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/270954

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:270954

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