一列新的正线性算子的迭代逼近

journal6 ›› 2005, Vol. 26 ›› Issue (2): 72-74.

一列新的正线性算子的迭代逼近

(浙江师范大学数理学院，浙江金华 321004)

出版日期:2005-04-15 发布日期:2012-09-22
作者简介:王孝斌 (1980-)，男,浙江省玉环人,浙江师范大学理学院硕士生,主要从事函数逼近论研究.
基金资助:
浙江省自然科学基金资助项目(102058)

The Iterative Approximation of a New Sequence of Linear Positive Operators

(College of Mathematics and Physics,Zhejiang Normal University,Jinhua 321004,Zhejiang China)

Online:2005-04-15 Published:2012-09-22

摘要/Abstract

摘要：讨论了一列新的正线性算子的迭代组合,得到了其渐近公式和一个关于高阶光滑模的误差估计，从而改善了文献中已有的结果.

关键词： 正线性算子, 迭代组合, 高阶光滑模, 逼近阶

Abstract: The iterative approximation of a new sequence of linear positive operators is studied.A Voronovskaja type asymptotic formula and an estimate on error in terms of higher-order modulus of continuity for the operators are obtained,which generalize the corresponding work of the reference.

Key words: linear positive operators, iterative approximation, higher-order modulus of continuity, approximation degree

王孝斌. 一列新的正线性算子的迭代逼近[J]. journal6, 2005, 26(2): 72-74.

WANG Xiao-Bin. The Iterative Approximation of a New Sequence of Linear Positive Operators[J]. journal6, 2005, 26(2): 72-74.