| 泛函不等式的Hyers-Ulam-Rassias稳定性 |
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| 引用本文： | 玉强,郭艳平,吴保卫.泛函不等式的Hyers-Ulam-Rassias稳定性[J].山西大学学报(自然科学版),2012(3):433-439. |
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| 作者姓名： | 玉强 郭艳平 吴保卫 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(10971123);陕西省自然科学基础研究计划项目(SJ08A20) |
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| 摘 要： | 证明了与Cauchy-Jensen可加映射相关的泛函不等式f(y)+2f(z)-f(z-x-y/2)≤f(z+x+y/2)的Hyers-Ulam-Rassias稳定性.
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| 关 键 词： | Hyers-Ulam-Rassias稳定性 泛函不等式 可加映射 |
On the Hyers-Ulam-Rassias Stability of a Functional Inequality |
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| YU Qiang,GUO Yan-ping,WU Bao-wei.On the Hyers-Ulam-Rassias Stability of a Functional Inequality[J].Journal of Shanxi University (Natural Science Edition),2012(3):433-439. |
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| Authors: | YU Qiang GUO Yan-ping WU Bao-wei |
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| Institution: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China) |
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| Abstract: | The Hyers-Ulam-Rassias stability of a functional inequality f(y)+2f(z)-f(z-x-y/2)≤f(z+x+y/2) is proved,which is associated with the Cauchy-Jensen additive type mapping. |
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| Keywords: | Hyers-Ulam-Rassias stability functional inequality additive mapping |
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