| 二元三角插值序列的矩形强性逼近 |
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| 引用本文： | 王小刚.二元三角插值序列的矩形强性逼近[J].安徽大学学报(自然科学版),2010,34(2). |
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| 作者姓名： | 王小刚 |
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| 作者单位： | 北方民族大学,基础部,宁夏,银川,750021 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 强性逼近问题是逼近论中重要的研究问题之一,但是因为问题比较复杂,研究成果并不多见.对于连续的具有2π周期的二元函数类,该论文得到了由此构造的二元三角插值序列的(p,q)阶r次强性逼近问题,得到了强性逼近的正定理,在逼近结果上达到了最佳,并推广了一些文献中的结果.
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| 关 键 词： | 二元 最佳逼近 强性逼近 |
On a rectangular and strong approximation in bivariate trigonometric interpolation sequences |
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| WANG Xiao-gang.On a rectangular and strong approximation in bivariate trigonometric interpolation sequences[J].Journal of Anhui University(Natural Sciences),2010,34(2). |
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| Authors: | WANG Xiao-gang |
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| Abstract: | The results of strong approximation is seldom, because it is an important and complicate reasearch area in approximation theory. The problem considered here was a kind of bivariate function of continuous and had a period of 2π, the estimation of bivariate trigonometric interpolation sequences was (p,q)-th strongly approximation for every positive real number r, the positive theorem and optimal approximation order was arrived. Therefore some conclusions became a special cases of the result of present paper . |
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| Keywords: | bivariate best approximation strong approximation |
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