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

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Functional Equations, Inequalities and Applications

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.

This work was financially supported by KOSEF (2000); project no. R02-2000-00005.

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Authors and Affiliations

  1. Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701, Chochiwon, Korea

    Soon-Mo Jung

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  1. Soon-Mo Jung
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Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, Greece

    Themistocles M. Rassias

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© 2003 Springer Science+Business Media Dordrecht

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Jung, SM. (2003). On the Hyers-Ulam-Rassias Stability of a Functional Equation. In: Rassias, T.M. (eds) Functional Equations, Inequalities and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0225-6_5

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  • DOI: https://doi.org/10.1007/978-94-017-0225-6_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6406-6

  • Online ISBN: 978-94-017-0225-6

  • eBook Packages: Springer Book Archive

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