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On the Generalized Hyers‐Ulam Stability of an n‐Dimensional Quadratic and Additive Type Functional Equation

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  • Yang-Hi Lee

Abstract

We investigate the generalized Hyers‐Ulam stability of a functional equation f∑j=1n xj+(n-20)∑j=1n f(xj)-∑1≤i

Suggested Citation

  • Yang-Hi Lee, 2014. "On the Generalized Hyers‐Ulam Stability of an n‐Dimensional Quadratic and Additive Type Functional Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:184680
    DOI: 10.1155/2014/184680
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    References listed on IDEAS

    as
    1. Sun Sook Jin & Yang-Hi Lee, 2011. "A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    2. Paisan Nakmahachalasint, 2007. "On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-10, May.
    3. Sun Sook Jin & Yang-Hi Lee, 2011. "A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-16, September.
    4. Yang-Hi Lee & Soon-Mo Jung, 2012. "A Fixed Point Approach to the Stability of an -Dimensional Mixed-Type Additive and Quadratic Functional Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, February.
    5. Sun Sook Jin & Yang Hi Lee, 2011. "Fuzzy Stability of a Quadratic-Additive Functional Equation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-16, October.
    6. M. Janfada & R. Shourvazi, 2011. "Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-19, June.
    Full references (including those not matched with items on IDEAS)

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