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Stability of a Monomial Functional Equation on a Restricted Domain

Author

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  • Yang-Hi Lee

    (Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea)

Abstract

In this paper, we prove the stability of the following functional equation ∑ i = 0 n n C i ( − 1 ) n − i f ( i x + y ) − n ! f ( x ) = 0 on a restricted domain by employing the direct method in the sense of Hyers.

Suggested Citation

  • Yang-Hi Lee, 2017. "Stability of a Monomial Functional Equation on a Restricted Domain," Mathematics, MDPI, vol. 5(4), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:4:p:53-:d:115421
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    References listed on IDEAS

    as
    1. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
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    Cited by:

    1. Ick-Soon Chang & Yang-Hi Lee & Jaiok Roh, 2023. "Representation and Stability of General Nonic Functional Equation," Mathematics, MDPI, vol. 11(14), pages 1-19, July.

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