Hyers-Ulam Stability of a Pexiderized Functional Equation

Soon-Mo Jung ()
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Soon-Mo Jung: Hongik University

A chapter in Functional Equations and Ulam’s Problem, 2026, pp 181-188 from Springer

Abstract: Abstract In this paper, we examine the stability problem of the Pexider-type functional equation f ( x + y ) = f ( x ) h ( y ) + k ( y ) $$f(x+y) = f(x) h(y) + k(y)$$ , which is a direct generalization of the Cauchy functional equations.

Keywords: Stability; Hyers-Ulam stability; Functional equation; Cauchy functional equation; Pexider functional equation; Primary 39B82, 39B62; 39B22 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-08949-6_10

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DOI: 10.1007/978-3-032-08949-6_10

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