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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. |
| 关键词: Aμ空间 K-泛函 光滑模 Bernstein 不等式 |
| DOI： |
| 分类号:O174.41 |
| 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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| EQUIVALENCE OF K-FUNCTIONAL AND MODULUS OF SMOOTHNESS IN HOLOMORPHIC Aμ SPACES |
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CHEN Ying-wei,WANG Zhan-jing,WANG Zhi-jun
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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. |
| Key words: Aμ space K-functional modulus of smoothness Bernstein inequality in real function spaces. |
