期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

Bernstein算子导数与光滑模的等价关系

  • 河北师范大学数学与信息科学学院 河北 石家庄050016
  • DOI:

An Equivalent Relation Between the Derivatives of Bernstein Operators and the Modulous of Smoothness

摘要/Abstract

摘要:

利用Ditzian模k2hλ(f,t)(0≤λ≤1)研究了Bernstein算子导数与它所逼近函数光滑性之间的关系,得到了Bernstein算子导数与Ditzian模的等价定理.

Abstract:

Use the Ditzian modulous of smoothness k2hλ( f,t) to study the relation of the derivatives between Bernstein operators and the smoothness of the function it approximate, and obtain the equiva-lent theorem between the derivatives of Bernstein operators and the Ditzian modulous of smoothness.