| Beta算子加Jacobi权的L_p同时逼近 |
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| 引用本文： | 赵德钧.Beta算子加Jacobi权的L_p同时逼近[J].山西大学学报(自然科学版),2000(4). |
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| 作者姓名： | 赵德钧 |
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| 作者单位： | 浙江绍兴文理学院数学系!浙江绍兴312000 |
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| 基金项目： | 浙江省重点学科基金!(浙教高科 [1998]7号 ) |
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| 摘 要： | 利用加权 Ditzian- Totik光滑模与加权 K-泛函的等价性给出了 Beta算子及其导数在 Lp-逼近意义下加Jacobi权逼近时的正、逆结果和逼近阶的特征刻划。
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| 关 键 词： | Beta算子 同时逼近 加权逼近 特征刻划 |
Weighted L_p-Approximation with Jacobi Weights of Derivatives by the Method of Beta Operators |
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| ZHAO De,jun.Weighted L_p-Approximation with Jacobi Weights of Derivatives by the Method of Beta Operators[J].Journal of Shanxi University (Natural Science Edition),2000(4). |
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| Authors: | ZHAO De jun |
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| Abstract: | In this paper,We obtained the direct and converse results and the characterizations of the approximation rate of Jacobi-weighted Beta operators and its derivatives in L p-approximations by means of the equivalence of weighted Ditzian-Totik modulus and weighted K-functionals. |
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