| The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-��-normed spaces |
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| 基金项目： | Supported by National Science Foundation of China （Grant Nos. 10626031 and 10971117） and the Scientific Research Project of the Department of Education of Shandong Province （Grant No. J08LI15）Acknowledgements The authors are grateful to the referees for their valuable suggestions. |
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| 摘 要： | In this paper, we investigate the Hyers-Ulam stability of the following function equation 2f（2x ＋ y） ＋ 2f（2x - y） = 4f（x ＋ y） ＋ 4f（x - y） ＋ 4f（2x） ＋ f（2y） - Sf（x） - 8f（y） in quasi-β-normed spaces.
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| 关 键 词： | 赋范空间 稳定性 三次函数 方程推导 海尔 函数方程 旧金山 |
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