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Hardy-Sobolev类基于Hermite信息的最优恢复
  • ISSN号：1000-4424
  • 期刊名称：高校应用数学学报A辑(中文版)
  • 时间：0
  • 页码：219-223
  • 分类：O174.4[理学—数学;理学—基础数学]
  • 相关基金：数学天元基金（10826079）;国家自然科学基金（10671019;10971251）
  • 相关项目：多元逼近的贪婪算法与量子算法
作者： 李雪华|
关键词： Hardy-Sobolev类, 解析函数, 最优恢复, Hermite信息, Hardy-Sobolev class, analytic function, optimal recovery, Hermite information
中文摘要：

H∞,β^r表示以2π为周期、在R上取实值、在带形区域Sβ：={z∈C：｜Imz｜〈β}内解析并满足条件｜f^（r）（z）｜≤1,z∈Sβ的函数f所组成的Hardy-Sobolev类.函数及其导数在节点集上的值称Hermite信息.确定了函数类H∞,β^r基于Hermite信息的最优恢复最小本征误差的精确估计.

英文摘要：

Denote by H∞,β^r the Hardy-Sobolev class of those 2π-periodic, real-valued functions f on R, which are analytic in the strip Sβ：={z∈C：｜Imz｜〈β}, β 〉 0 and satisfy the restriction ｜f^（r）（z）｜≤1,z∈Sβ. The values of a function and its derivatives at a set of nodes are said to be Hermite information. The exact estimates of the minimum intrinsic error of optimal recovery from .Hermite information on the class H∞,β^r are determined.

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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:3669