Stability of the Quadratic–Cubic Functional Equation in Quasi–Banach Spaces

Wanxiong Zhang () and Zhihua Wang ()
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Wanxiong Zhang: Chongqing University
Zhihua Wang: Hubei University of Technology

Chapter Chapter 25 in Functional Equations in Mathematical Analysis, 2011, pp 319-336 from Springer

Abstract: Abstract In quasi–Banach spaces, we investigate the generalized Hyers–Ulam–Rassias stability of the quadratic-cubic functional equation $$6f(x + y) - 6f(x - y) + 4f(3y) = 3f(x + 2y) - 3f(x - 2y) + 9f(2y).$$

Keywords: Hyers–Ulam–Rassias stability; Quadratic–cubic functional equation; Quasi–Banach space (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_25

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DOI: 10.1007/978-1-4614-0055-4_25

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