On the Hyers–Ulam–Rassias Stability of the Bi-Pexider Functional Equation

Kil-Woung Jun () and Yang-Hi Lee ()
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Kil-Woung Jun: Chungnam National University
Yang-Hi Lee: Kongju National University of Education

Chapter Chapter 13 in Functional Equations in Mathematical Analysis, 2011, pp 165-175 from Springer

Abstract: Abstract In this paper, we obtain the Hyers–Ulam–Rassias stability of a bi-Pexider functional equation $$f(x + y,z + w) = {f}_{1}(x,z) + {f}_{2}(x,w) + {f}_{3}(y,z) + {f}_{4}(y,w)$$ in the sense of Th.M. Rassias. Also, we establish the superstability of a bi-Jensen functional equation.

Keywords: Solution; Stability; Bi-Jensen mapping; Functional equation (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_13

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DOI: 10.1007/978-1-4614-0055-4_13

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