| 平行六边形域上二重Fourier级数的线性求和 |
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| 引用本文： | 王淑云,梁学章,孙毅.平行六边形域上二重Fourier级数的线性求和[J].吉林大学学报(理学版),2008,46(5):816-824. |
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| 作者姓名： | 王淑云 梁学章 孙毅 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 对三向剖分平行六边形域上的二重Fourier级数提出一
种新的线性求和法. 通过构造一种特殊的求和因子, 保证了由此得到的积分算子在全平面上一致地收敛到每个以平行六边形为周期的连续函数, 且对光滑的被逼近函数, 给出了算子的收敛阶估计.
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| 关 键 词： | 二重Fourier级数 求和因子 三向坐标 平行六边形域 |
| 收稿时间： | 2008-01-15 |
Linear Summation of Double Fourier Series on a Parallel Hexagon Domain |
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| WANG Shu-yun,LIANG Xue-zhang,SUN Yi.Linear Summation of Double Fourier Series on a Parallel Hexagon Domain[J].Journal of Jilin University: Sci Ed,2008,46(5):816-824. |
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| Authors: | WANG Shu-yun LIANG Xue-zhang SUN Yi |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | A new method of linear summation of double Fourier series was put forward on a parallel hexagon associated with 3 directional partition. A specific summation factor was so constructed that an integral operator with the summation factor converged uniformly to any given continuous function with periodic domain Ω, where Ω is a parallel hexagon domain. Furthermore, the convergence order of the operator was presented for the smooth approached function. |
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| Keywords: | double Fourier series summation factor three-direction coordinate parallel hexagon domain convergence |
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