| 全纯A_μ空间中K-泛函和光滑模的等价性 |
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| 引用本文： | 陈英伟,王占京,王志军.全纯A_μ空间中K-泛函和光滑模的等价性[J].数学杂志,2015,35(6):1431-1437. |
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| 作者姓名： | 陈英伟 王占京 王志军 |
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| 作者单位： | 河北经贸大学数统学院, 河北 石家庄 050061,河北经贸大学数统学院, 河北 石家庄 050061,河北经贸大学数统学院, 河北 石家庄 050061 |
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| 基金项目： | 国家自然科学基金(11126246);河北省教育厅科研基金(QN20131027);河北经贸大学校内科研基金(2013KYQ07);河北省自然科学基金(A2015207007). |
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| 摘 要： | 本文研究了Cn中星型圆形域D上的全纯Aμ空间中两个逼近工具光滑模与K-泛函的关系问题,通过得到Aμ空间中的Bernstein不等式,获得了利用径向导数定义新的K-泛函与光滑模与K-泛函的等价性以及Marchaud不等式,推广了实函数空间中的结果.
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| 关 键 词： | Aμ空间 K-泛函 光滑模 Bernstein 不等式 |
| 收稿时间： | 2013/4/27 0:00:00 |
| 修稿时间： | 2014/2/25 0:00:00 |
EQUIVALENCE OF K-FUNCTIONAL AND MODULUS OF SMOOTHNESS IN HOLOMORPHIC Aμ SPACES |
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| CHEN Ying-wei,WANG Zhan-jing and WANG Zhi-jun.EQUIVALENCE OF K-FUNCTIONAL AND MODULUS OF SMOOTHNESS IN HOLOMORPHIC Aμ SPACES[J].Journal of Mathematics,2015,35(6):1431-1437. |
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| Authors: | CHEN Ying-wei WANG Zhan-jing and WANG Zhi-jun |
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| Institution: | College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China,College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China and College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China |
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| Abstract: | In this paper, we study the relation between K-functional and modulus of smoothness in Aμ spaces on starlike circular domain of Cn and get Bernstein inequality. A kind of K-functional is introduced by the radial derivative to obtain the equivalence of K-functional and the moduli of smoothness and Marchaud inequation, which extend the previous results. |
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| Keywords: | Aμ space K-functional modulus of smoothness Bernstein inequality in real function spaces |
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