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Representation and Stability of General Nonic Functional Equation

Author

Listed:
  • Ick-Soon Chang

    (Department of Mathematics, Chungnam National University, Daejeon 34134, Republic of Korea)

  • Yang-Hi Lee

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

  • Jaiok Roh

    (Ilsong Liberal Art Schools (Mathematics), Hallym University, Chuncheon 24252, Republic of Korea)

Abstract

In this paper, we introduce a way of representing a given mapping as the sum of odd and even mappings. Then, using this representation, we investigate the stability of various forms of the following general nonic functional equation: ∑ i = 0 10 10 C i ( − 1 ) 10 − i f ( x + i y ) = 0 .

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3173-:d:1197779
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    References listed on IDEAS

    as
    1. Yang-Hi Lee, 2019. "On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation," Mathematics, MDPI, vol. 7(6), pages 1-14, June.
    2. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    3. Yang-Hi Lee & Jaiok Roh & Gaetano Luciano, 2023. "Some Remarks Concerning the General Octic Functional Equation," Journal of Mathematics, Hindawi, vol. 2023, pages 1-15, May.
    4. Yang-Hi Lee, 2017. "Stability of a Monomial Functional Equation on a Restricted Domain," Mathematics, MDPI, vol. 5(4), pages 1-11, October.
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    Cited by:

    1. Rashad M. Asharabi & Muaadh Almahalebi, 2024. "Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles’ Approach," Mathematics, MDPI, vol. 12(6), pages 1-15, March.

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