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Additive and Quadratic Type Functional Equation and its Fuzzy Stability

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Abstract

In this paper, we investigate a fuzzy version of stability for the additive and quadratic type functional equation

$$f(x + y) - f(-x- y) - f(x) + f(- x) -4f(y) + f(2y) = 0,$$

in the sense of Mirmostafaee and Moslehian.

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Authors and Affiliations

  1. Department of Mathematics, Mokwon University, Daejeon, 302-729, Republic of Korea

    Ick-Soon Chang

  2. Department of Mathematics Education, Gongju National University of Education, Gongju, 314-711, Republic of Korea

    Yang-Hi Lee

Authors
  1. Ick-Soon Chang
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  2. Yang-Hi Lee
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Corresponding author

Correspondence to Ick-Soon Chang.

Additional information

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0004878).

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Chang, IS., Lee, YH. Additive and Quadratic Type Functional Equation and its Fuzzy Stability. Results. Math. 63, 717–730 (2013). https://doi.org/10.1007/s00025-012-0229-y

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  • DOI: https://doi.org/10.1007/s00025-012-0229-y

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