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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Kim, Hark-Mahn; Jun, Kil-Woung; Son, Eunyoung;

doi: 10.1155/2012/270954

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

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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.

Related Organizations

Chonnam National University
Korea (Republic of)

Keywords

QA1-939, Stability, separation, extension, and related topics for functional equations, Mathematics

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