| Lp空间Shepard算子逼近的正逆定理 |
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| 引用本文： | 周观珍.Lp空间Shepard算子逼近的正逆定理[J].应用数学学报,2007,30(1):146-158. |
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| 作者姓名： | 周观珍 |
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| 作者单位： | 浙江工商大学数学系,杭州,310018 |
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| 摘 要： | 本文引入了一种修正的积分型Shepard算子,建立了相应的Jackson型定理,并通过建立Bernstein型不等式,给出了算子在L0,1]p空间中一种新的逼近阶刻画的等价形式,得到了逼近的逆定理．
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| 关 键 词： | Shepard算子 Lp空间 逼近阶 等价性定理 |
| 修稿时间： | 2005-11-092006-09-25 |
Direct and Converse Approximation Theorems for the Shepard Operators in Lp Spaces |
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| ZHOU GUANZHEN.Direct and Converse Approximation Theorems for the Shepard Operators in Lp Spaces[J].Acta Mathematicae Applicatae Sinica,2007,30(1):146-158. |
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| Authors: | ZHOU GUANZHEN |
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| Institution: | Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018 |
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| Abstract: | A kind of new equivalent theorem for the approximation by a kind of modified Kantorovich-Shepard operators in L0,1]p is established with the help of K-functional. Its direct and converse approximation theorems are obtained by establshing Bernstein type inequalities. |
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| Keywords: | Shepard operators Lp spaces approxiamtion equivalence theorem |
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