Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations

Kil-Woung Jun (), Hark-Mahn Kim () and Eun Young Son ()
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Kil-Woung Jun: Chungnam National University
Hark-Mahn Kim: Chungnam National University
Eun Young Son: Chungnam National University

Chapter Chapter 20 in Nonlinear Analysis, 2012, pp 343-352 from Springer

Abstract: Abstract In this paper, we prove the generalized Hyers–Ulam stability of the following Cauchy–Jensen functional equation $$f(x)+f(y)+nf(z)=nf\biggl(\frac{x+y}{n}+z\biggr), $$ in an n-divisible abelian group G for any fixed positive integer n≥2.

Keywords: Cauchy–Jensen equations; Generalized Hyers–Ulam stability; 39B82 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_20

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DOI: 10.1007/978-1-4614-3498-6_20

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