| Orlicz空间中三角多项式倒数对周期可微函数的逼近定理 |
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| 引用本文： | 顾春贺,吴嘎日迪. Orlicz空间中三角多项式倒数对周期可微函数的逼近定理[J]. 应用泛函分析学报, 2010, 12(2): 180-185 |
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| 作者姓名： | 顾春贺 吴嘎日迪 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,呼和浩特,010022 |
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| 基金项目： | 内蒙古自治区自然科学基金 |
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| 摘 要： | 利用Orlicz空间内有关不等式技巧在Orlicz空间内研究了用三角多项式的倒数逼近周期可微函数的问题.得到了一个逼近定理及其推论.
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| 关 键 词： | 逼近 周期可微函数 三角多项式 |
Approximation of Differentiable Periodical Functions by Reciprocals of Trigonometric Polynomials in Orlicz Spaces |
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| GU Chunhe,WU Garidi. Approximation of Differentiable Periodical Functions by Reciprocals of Trigonometric Polynomials in Orlicz Spaces[J]. Acta Analysis Functionalis Applicata, 2010, 12(2): 180-185 |
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| Authors: | GU Chunhe WU Garidi |
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| Affiliation: | GU Chunhe, WU Garidi( College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China) |
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| Abstract: | Using some inequality techniques in Orlicz spaces, we studied the approximation problem of periodical differentiable functions by reciprocals of trigonometric polynomials in Orlicz spaces, and obtained an approximation theorem and corollary. |
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| Keywords: | approximation differentiable periodical functions trigonometric polynomials |
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