| Stability Problem for Jensen-type Functional Equations of Cubic Mappings |
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| 作者姓名： | Kil-Woung JUN Hark-Mahn KIM |
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| 作者单位： | Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305-764, Republic of Korea |
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| 基金项目： | This work is supported by the Korea Research Foundation Grant funded by the Korea Government （M0EHRD） （KRF-2005-070-C00009） |
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| 摘 要： | In this paper, we establish the general solution and the generalized Hyers-Ulam-Rassias stability problem for a cubic Jensen-type functional equation,4f（（3x＋y）/4）＋4f（（x＋3y）/4）=6f（（x＋y）/2）＋f（x）＋f（y）,9f（（2x＋y/3）＋9f（（x＋2y）/3）=16f（（x＋y）/2＋f（x）＋f（y）in the spirit of D. H. Hyers, S. M. Ulam, Th. M. Rassias and P. Gaevruta.
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| 关 键 词： | Jensen方程 Hyers-Ulam-Rassias稳定性 立方映射 数学分析 |
| 收稿时间： | 2005-03-04 |
| 修稿时间： | 2005-03-042005-07-27 |
Stability Problem for Jensen–type Functional Equations of Cubic Mappings |
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| Kil-Woung JUN Hark-Mahn KIM.Stability Problem for Jensen-type Functional Equations of Cubic Mappings[J].Acta Mathematica Sinica,2006,22(6):1781-1788. |
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| Authors: | Kil-Woung Jun Hark-Mahn Kim |
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| Institution: | (1) Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon, 305–764, Republic of Korea |
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| Abstract: | In this paper, we establish the general solution and the generalized Hyers–Ulam–Rassias stability problem for a cubic Jensen–type
functional equation, in the spirit of D. H. Hyers, S. M. Ulam, Th. M. Rassias and P. Găvruta.
This work is supported by the Korea Research Foundation Grant funded by the Korea Government (MOEHRD) (KRF–2005–070–C00009) |
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| Keywords: | Jensen equation Hyers-Ulam-Rassias stability cubic mapping |
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