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

Hyers-Ulam stability of Jensen functional inequality in \(p\)-Banach spaces. (English) Zbl 1246.39025

Abstr. Appl. Anal. 2012, Article ID 270954, 16 p. (2012).
Summary: We prove the Hyers-Ulam stability of the following Jensen functional inequality \(||f((x - y)/n + z) + f((y - z)/n + x) + f((z - x)/n + y)|| \leq || f((x + y + z)||\) in \(p\)-Banach spaces for any fixed nonzero integer \(n\).

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MSC:

39B82 Stability, separation, extension, and related topics for functional equations
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References:

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