| Gamma 算子在 Lp (1≤p ≤∞)空间带权同时逼近的强逆不等式 |
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| 引用本文： | 齐秋兰,郭顺生,黄苏霞.Gamma 算子在 Lp (1≤p ≤∞)空间带权同时逼近的强逆不等式[J].数学物理学报(A辑),2008,28(3):537-545. |
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| 作者姓名： | 齐秋兰 郭顺生 黄苏霞 |
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| 作者单位： | 河北师范大学数学与信息科学学院 石家庄 050016 |
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| 基金项目： | 国家自然科学基金(10571040)、河北师范大学博士基金(L2002B03)资助 |
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| 摘 要： | 该文利用修正的带权 K- 泛函K2σ f, t2)w,p, 考虑Gamma算子在Lp~ (1≤p ≤∞)空间带权同时逼近, 给出了它的 B -型强逆不等式.
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| 关 键 词： | Gamma算子 逼近 K -泛函 强逆不等式 |
| 收稿时间： | 2006-08-13 |
| 修稿时间： | 2007-08-18 |
Strong Converse Inequalities for Weighted Simultaneous
Approximation by Gamma Operators in Lp (1≤p ≤∞) Spaces |
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Qi Qiulan,Guo Shunsheng,Huang Suxia
.Strong Converse Inequalities for Weighted Simultaneous
Approximation by Gamma Operators in Lp (1≤p ≤∞) Spaces[J].Acta Mathematica Scientia,2008,28(3):537-545. |
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| Authors: | Qi Qiulan Guo Shunsheng Huang Suxia
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| Institution: | College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016 |
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| Abstract: | In this paper, the authors consider the weighted simultaneous approximation by the Gamma operator and establish the strong converse inequality of type $B$ for the operator with the weighted $K$-functional $K^2_{\varphi}(f, t^2)_{w,p}$ in the space $L_p(1\le p\le \infty)$. |
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| Keywords: | Gamma operatorzz Approximationzz K -functionalzz Strong converse inequalityzz |
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