| 二重Fourier积分G平均的逼近定理 |
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| 引用本文： | 匡继昌.二重Fourier积分G平均的逼近定理[J].湖南师范大学自然科学学报,1991,14(1):6-14. |
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| 作者姓名： | 匡继昌 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： |
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| 关 键 词： | 傅氏积分 G平均 逼近 |
APPROXIMATIONS THEOREMS BY G MEANS OF DOUBLE FOURIER INTEGRAL |
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| Kuang Jichang.APPROXIMATIONS THEOREMS BY G MEANS OF DOUBLE FOURIER INTEGRAL[J].Journal of Natural Science of Hunan Normal University,1991,14(1):6-14. |
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| Authors: | Kuang Jichang |
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| Institution: | Department of Mathematics |
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| Abstract: | We introduce the G means of the double Fourier iategral and corresponding double Fourier series. It contains well known Norlund means, Cesaro means and Zygmund typical means. We gives the order of approximations of their in Lip(a,p), lip(a,p)and X(R~2)(L~p(R~2)and C(R~2))spaces. The extensions of our results to the higher dimensional cases are straightforward. |
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| Keywords: | Fourier integral G means Approximation |
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