On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability

Takeshi Miura (), Go Hirasawa () and Takahiro Hayata ()
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Takeshi Miura: Yamagata University
Go Hirasawa: Ibaraki University
Takahiro Hayata: Yamagata University

Chapter Chapter 16 in Functional Equations in Mathematical Analysis, 2011, pp 201-206 from Springer

Abstract: Abstract In this paper, we present a recent development of the Hyers–Ulam stability of the Butler–Rassias functional equation $$f(x + y) - f(x)f(y) = d\sin x\sin y$$ . We also show our most recent results on a Butler–Rassias type functional equation with complex variables.

Keywords: Butler–Rassias functional equation; exponential functions; 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_16

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DOI: 10.1007/978-1-4614-0055-4_16

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