Generalized Hyers–Ulam Stability of a Quadratic Functional Equation

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

Chapter Chapter 12 in Functional Equations in Mathematical Analysis, 2011, pp 153-164 from Springer

Abstract: Abstract Let a be a fixed integer with a≠−1,0. We obtain the general solution and the generalized Hyers–Ulam stability theorem for a quadratic functional equation $$\begin{array}{rcl} f(ax + y) + af(x - y) = (a + 1)f(y) + a(a + 1)f(x).& & \\ \end{array}$$

Keywords: Generalized Hyers–Ulam stability; Quadratic mapping (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_12

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DOI: 10.1007/978-1-4614-0055-4_12

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