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各向异性Besov-Wiener类由多重样本的最优恢复
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O174.41[理学—数学;理学—基础数学]
  • 作者机构：[1]呼伦贝尔学院数学系,内蒙古呼伦贝尔021008, [2]北京师范大学数学科学学院,北京100875
  • 相关基金：Supposed by the Natural Science Foundation of China （10671019）
作者： 李跃武[1,2]
关键词： 网格宽度, 最优恢复, 本性误差, Besov-Wiener类, 多重样本, Net width, Optimal recovery, Intrinsic error, Besov-Wiener class, Mutiplesamples
中文摘要：

研究各向异性Besov-Wiener类SrpqθB（R^n）在Lq（R^n）,（1＜q≤P＜∞）中由其函数和它们的导数样本的最优恢复问题,确定了误差界的精确阶.

英文摘要：

In this paper,we study the problem of optimal recovery of some anisotropic Besov-Wiener classes Spqθ^rB（R^n）in Lq（R^n）,（1〈q≤p〈∞）using the functions and their partial derivatives samples.The exact order of error bound is determined for corresponding quantities.

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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
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  • 被引量:4139