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某些Mercer核矩阵的权范数
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O174.41[理学—数学;理学—基础数学]
  • 作者机构：[1]绍兴文理学院数学系,浙江绍兴312000
  • 相关基金：国家自然科学基金（10871226,61179041）和浙江省自然科学基金（Y6100096）资助
作者： 盛宝怀[1]
关键词： Mercer核矩阵, Rayleigh熵数, 整函数插值, Bessel函数, 学习理论, Mercer kernel matrices, Rayleigh entropy, Entire function interpolation, Besselfunctions, Learning theory.
中文摘要：

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.

英文摘要：

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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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382