| LM^Ba空间中积分型拟Kantorovic算子逼近正逆定理 |
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| 引用本文： | 韩领兄,吴嘎日迪.LM^Ba空间中积分型拟Kantorovic算子逼近正逆定理[J].内蒙古师范大学学报(自然科学版),2006,35(1):35-38. |
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| 作者姓名： | 韩领兄 吴嘎日迪 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 |
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| 基金项目： | 内蒙古自然科学基金资助项目（200408020108） |
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| 摘 要： | 引入了由一列Orlicz空间生成的Ba空间（LM^Ba）的定义，以连续模与带权的连续模为工具．讨论了积分型拟Kamorovic算子在LM^Ba空间中逼近的正逆定理，得到其等价刻划．
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| 关 键 词： | LM^Ba空间 积分型拟Kantorovic算子 逼近 |
| 文章编号： | 1001-8735（2006）01-0035-04 |
| 收稿时间： | 2005-07-14 |
Direct and inverse theorems of approximation by the Quasi-Kantorovic operators in LM^Ba spaces |
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| HAN Ling-xiong, WU Garidi.Direct and inverse theorems of approximation by the Quasi-Kantorovic operators in LM^Ba spaces[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2006,35(1):35-38. |
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| Authors: | HAN Ling-xiong WU Garidi |
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| Institution: | College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022 ,China |
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| Abstract: | In this paper, the LM^Ba space, which are composed of a sequence of Orlicz spaces,are firstly improved. Then an approximation theorem and an inverse theorem are establised by the Quasi-Kantorovic operators in LM^Ba spaces with a modulus of smoothness and modulus of smoothness with weight. Also an approximational equivalent theorem of the operators is obtained. |
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| Keywords: | LM^Ba space Quasi-Kantorovic operators approximation |
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