| 某些Mercer核矩阵的权范数 |
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| 引用本文： | 盛宝怀. 某些Mercer核矩阵的权范数[J]. 数学物理学报(A辑), 2013, 33(1): 6-15 |
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| 作者姓名： | 盛宝怀 |
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| 作者单位： | 绍兴文理学院数学系 浙江绍兴312000 |
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| 基金项目： | 国家自然科学基金(10871226, 61179041)和浙江省自然科学基金(Y6100096)资助 |
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| 摘 要： | 借助整函数插值研究由函数的广义平移所生成的Mercer核矩阵及其逆矩阵权范数的上、下界估计问题,将定义在无限区间上整函数的广义平移所生成的Mercer核矩阵权范数界的估计转化为其Fourier-Bessel变换来估计.
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| 关 键 词： | Mercer核矩阵 Rayleigh熵数 整函数插值 Bessel函数 学习理论 |
| 收稿时间： | 2011-09-30 |
| 修稿时间： | 2012-11-08 |
TheWeighted Normfor SomeMercer Kernel |
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| Sheng Baohuai. TheWeighted Normfor SomeMercer Kernel[J]. Acta Mathematica Scientia, 2013, 33(1): 6-15 |
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| Authors: | Sheng Baohuai |
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| Affiliation: | Department of Mathematics, Shaoxing College of Arts and Sciences, Zhejiang Shaoxing |312000 |
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| Abstract: | In the present paper, the upper and lower bounds of the weighted norm for the Mercer kernel matrix produced by the generalized translation of an entire function defined on the infinite interval are investigated, the weighted norm is estimated by the Fourier-Bessel of the entire function. |
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| Keywords: | Mercer kernel matriceszz Rayleigh entropyzz Entire function interpolationzz Bessel functionszz Learning theoryzz |
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