| 平面上定义的两类函数之间的关系 |
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| 引用本文： | 李健,刘永平. 平面上定义的两类函数之间的关系[J]. 北京师范大学学报(自然科学版), 2009, 45(3): 226-231 |
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| 作者姓名： | 李健 刘永平 |
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| 作者单位： | 北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,100875,北京;北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目(10771016);;北京师范大学“985”工程资助项目 |
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| 摘 要： | 为研究平面上以正六边形为基本集的周期函数的性质,定义了在平面上以矩形为基本集的半交错周期函数概念,并讨论了这2类函数之间的一些相互关系.由此可以揭示这2类函数的Fourier级数理论的一些联系.顺便给出一个关于Jackson不等式的精确结果.
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| 关 键 词： | 正六边形 矩形 周期 函数空间 Jackson不等式 |
RELATIONSHIP OF TWO CLASSES OF FUNCTIONS DEFINED ON A PLANE |
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| LI Jian,LIU Yongping. RELATIONSHIP OF TWO CLASSES OF FUNCTIONS DEFINED ON A PLANE[J]. Journal of Beijing Normal University(Natural Science), 2009, 45(3): 226-231 |
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| Authors: | LI Jian LIU Yongping |
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| Affiliation: | School of Mathematical Sciences;Beijing Normal University;Key Laboratory of Mathematics and Complex Systems;Ministry of Education: 100875;Beijing;China |
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| Abstract: | The authors study the properties of the regular hexagon periodic functions on the plane,and introduces the notion of rectangle self-alternative periodic functions on a plane.Moreover,the authors establish some interrelationship between two classes of functions,revealing connections between the Fourier series theory of these two function classes.In addition,an exact result of Jackson inequality was obtained. |
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| Keywords: | regular hexagon rectangle periodic function class Jackson inequality |
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