On the Hyers-Ulam-Rassias Stability of a Functional Equation

Soon-Mo Jung ()
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Soon-Mo Jung: Hong-Ik University, Mathematics Section, College of Science and Technology

Chapter Chapter 5 in Functional Equations, Inequalities and Applications, 2003, pp 67-71 from Springer

Abstract: Abstract In this paper, we will introduce a new functional equation f (x 1, y 1) f (x 2, y 2) = f (x 1 x 2+ y 1 y 2, x 1 y 2 − y 1 x 2), which is strongly related to a well known elementary formula of number theory, and investigate the solutions of the equation. Moreover, we will also study the Hyers—Ulam—Rassias stability of that equation.

Keywords: Hyers-Ulam-Rassias stability; functional equation. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0225-6_5

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DOI: 10.1007/978-94-017-0225-6_5

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