On the Hyers–Ulam Stability of Functional Equations with Respect to Bounded Distributions

Jae-Young Chung ()
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Jae-Young Chung: Kunsan National University

Chapter Chapter 5 in Functional Equations in Mathematical Analysis, 2011, pp 59-78 from Springer

Abstract: Abstract We consider the Hyers–Ulam stability of the Cauchy, Jensen, Pexider, Pexider–Jensen equations with respect to bounded distributions. We also consider the Hyers–Ulam–Rassias stability problem for the quadratic functional equation in the space of Fourier hyperfunctions.

Keywords: Bounded distribution; Fourier hyperfunction; Cauchy equation; Pexider equation; Jensen equation; Quadratic functional equation; Heat kernel; Hyers–Ulam stability (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_5

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DOI: 10.1007/978-1-4614-0055-4_5

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