| Orlicz空间内正系数代数多项式倒数对非负连续函数的逼近 |
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| 引用本文： | 牛彤彤,吴嘎日迪. Orlicz空间内正系数代数多项式倒数对非负连续函数的逼近[J]. 数学杂志, 2014, 34(1): 161-167 |
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| 作者姓名： | 牛彤彤 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 |
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| 基金项目： | 国家自然科学基金资助项目(11161033);内蒙古师范大学人才工程基金资助项目(RCPY-2-2012-K-036);内蒙古师范大学研究生科研创新基金资助项目(CXJJS10039) |
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| 摘 要： | 本文研究了Bernstein-Durrmeyer代数多项式倒数对非负连续函数在Orlicz空间中的逼近问题.利用光滑模和K-泛函等工具,获得了收敛速度的估计,所得的结果比Lp空间内的相应结果具有拓展的意义.
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| 关 键 词： | 多项式倒数 Bernstein-Durrmeyer多项式算子 Orlicz空间 逼近 |
| 收稿时间： | 2012-05-14 |
| 修稿时间： | 2012-11-05 |
ON APPROXIMATION OF NON-NEGATIVE CONTINUOUS FUNCTION BY RECIPROCALS OF POLYNOMIAL WITH POSITIVE COEFFICIENTS IN ORLICZ SPACES |
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| NIU Tong-tong and WU Garidi. ON APPROXIMATION OF NON-NEGATIVE CONTINUOUS FUNCTION BY RECIPROCALS OF POLYNOMIAL WITH POSITIVE COEFFICIENTS IN ORLICZ SPACES[J]. Journal of Mathematics, 2014, 34(1): 161-167 |
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| Authors: | NIU Tong-tong and WU Garidi |
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| Affiliation: | NIU Tong-tong;WU Garidi;College of Mathematics Science,Inner Mongolia Normal University; |
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| Abstract: | In this paper, we study the approximation problem of non-negative continuous functions by reciprocals of Bernstein-Durrmeyer polynomial in Orlicz spaces by using K-functional and modulus of smoothness, and the results are more signiflcant than the corresponding results of Lp space. |
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| Keywords: | reciprocals of polynomials Benstein-Durrmeyer polynomials operator Orlicz Space approximation |
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