| 推广的离散指数型Lagrange插值算子在Lp（R）中的收敛阶 |
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| 引用本文： | 盛保怀.推广的离散指数型Lagrange插值算子在Lp（R）中的收敛阶[J].宝鸡文理学院学报(自然科学版),1995(2):8-13. |
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| 作者姓名： | 盛保怀 |
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| 作者单位： | 宝鸡文理学院数学系 |
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| 摘 要： | 本文给出两类推广的离散指数型Ｌａｇｒａｎｇｅ插值算子，给出了其在Ｌｐ（Ｒ）中之收敛阶，从而一步用插值的方法对著名的Ｗｈｉｔｔａｋｅｒ－ｋｏｔｅｌｎｉｋｏｖ－Ｓｈａｎｎｏｖ样本定理进行了研究。
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| 关 键 词： | 光滑模 拉格朗日插值 插值算子 收敛阶 |
THE ORDER OF APPROXIMATION BY GENERALIZED DISCRETE LAGRANGE INTERPOLATING OPERATORS OF EXPONENTIAL TYPE IN Lp(R) SPACES |
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| Sheng Baohuai.THE ORDER OF APPROXIMATION BY GENERALIZED DISCRETE LAGRANGE INTERPOLATING OPERATORS OF EXPONENTIAL TYPE IN Lp(R) SPACES[J].Journal of Baoji College of Arts and Science(Natural Science Edition),1995(2):8-13. |
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| Authors: | Sheng Baohuai |
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| Abstract: | This paper gives two kinds of generalized discrete Lagrange interpolating operators of exponential type and discusses their convergences in Lp(R) spaces. The results Can be applied to the studying of Whittaker Kotelnikov-Shannov Sample theorem. |
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| Keywords: | Lagrange Interpolation Modulus of smoothness Cauchy Principle Value of Integral |
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