| 矩阵赋$beta$-范空间中泛函方程的稳定性 |
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| 引用本文： | 杨秀忠,申冠楠,刘国芬. 矩阵赋$beta$-范空间中泛函方程的稳定性[J]. 数学研究及应用, 2016, 36(3): 328-340 |
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| 作者姓名： | 杨秀忠 申冠楠 刘国芬 |
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| 作者单位： | 河北师范大学数学与信息科学学院, 河北 石家庄 050024; 河北省计算数学与应用重点实验室, 河北 石家庄 050024,河北师范大学数学与信息科学学院, 河北 石家庄 050024,河北师范大学数学与信息科学学院, 河北 石家庄 050024; 河北省计算数学与应用重点实验室, 河北 石家庄 050024 |
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| 基金项目： | 国家自然科学基金(Grant No.11371119), 河北省教育厅重点基金(Grant No.ZD2016023),河北省教育厅基金(Grant No.Z2014031). |
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| 摘 要： | 文中我们定义了矩阵赋$beta$-范空间,并在此空间中证明了可加二次方程和Pexider型方程的稳定性.
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| 关 键 词： | 矩阵赋$beta$-范空间 稳定性 可加二次方程 Pexider型方程 |
| 收稿时间： | 2015-03-30 |
| 修稿时间： | 2016-03-18 |
On the Stability of the Functional Equation in Matrix $beta$-Normed Spaces |
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| Xiuzhong YANG,Guannan SHEN and Guofen LIU. On the Stability of the Functional Equation in Matrix $beta$-Normed Spaces[J]. Journal of Mathematical Research with Applications, 2016, 36(3): 328-340 |
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| Authors: | Xiuzhong YANG Guannan SHEN Guofen LIU |
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| Affiliation: | College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China; Hebei Key Laboratory of Computational Mathematics and Applications, Hebei 050024, P. R. China,College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China and College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China; Hebei Key Laboratory of Computational Mathematics and Applications, Hebei 050024, P. R. China |
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| Abstract: | In this paper we introduce the matrix $beta$-normed space and study the stability of the additive-quadratic type functional equation and the Pexider type functional equation in this type of spaces. |
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| Keywords: | matrix $beta$-normed spaces stability additive-quadratic functional equation Pexider equation |
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