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Baskakov-Durrmeyer算子线性组合加权逼近的Stechkin-Marchaud型不等式
  • ISSN号：1005-1031
  • 期刊名称：《高校应用数学学报：英文版（B辑）》
  • 时间：0
  • 分类：O174.41[理学—数学;理学—基础数学]
  • 作者机构：[1]台州学院数学与信息工程学院,浙江临海317000
  • 相关基金：国家自然科学基金（No.10671019）;台州学院重点科研项目（No.09ZD08）.
作者： 冯国[1]
关键词： BASKAKOV-DURRMEYER算子, 线性组合, Stechkin-Marchaud型不等式, K-泛函, 加权逼近, Baskakov- Durrmeyer operator, linear combination, Stechkin- Marchaud-type inequality, K-functional, weighted approximation
中文摘要：

讨论了光滑模与K-泛函的关系，给出Baskakov-Durrmeyer算子线性组合加权逼近Stechkin-Marchaud型不等式．同时，得到其逼近的逆定理．

英文摘要：

This paper studies the equivalence relation between K-functional and molduli of smoothness, and gives the weighted Stechkin-Marchaud-type inequalities of approximation for linear combination of Baskakov-Durrmeyer operators. Moreover, this paper also obtains the inverse result of weighted approximation for linear combination of Baskakov-Durrmeyer operators with ωo^2r （f ;t）w,p.

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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位: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：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/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,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26