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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. |
| 关键词: 多项式倒数 Bernstein-Durrmeyer多项式算子 Orlicz空间 逼近 |
| DOI： |
| 分类号:O174.41 |
| 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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| ON APPROXIMATION OF NON-NEGATIVE CONTINUOUS FUNCTION BY RECIPROCALS OF POLYNOMIAL WITH POSITIVE COEFFICIENTS IN ORLICZ SPACES |
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NIU Tong-tong,WU Garidi
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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. |
| Key words: reciprocals of polynomials Benstein-Durrmeyer polynomials operator Orlicz Space approximation |
