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Stancu-Sikkema算子的点态估计
引用本文:刘喜武,郭顺生,刘丽霞.Stancu-Sikkema算子的点态估计[J].数学研究及应用,2003,23(1):59-64.
作者姓名:刘喜武  郭顺生  刘丽霞
作者单位:1. 河北经贸大学计算机中心,河北,石家庄,050091
2. 河北师范大学数学系,河北,石家庄,050016
基金项目:Supported by NSF of Hebei Province(101090)
摘    要:本文构造了Stancu—Sikkema算子,并利用点态光滑模研究了此算子的点态逼近正逆定理.

关 键 词:Stancu-Sikkema算子  点态估计  点态光滑模  点态逼近
收稿时间:2000/1/18 0:00:00

The Pointwise Estimate for Stancu-Sikkema Operators
LIU Xi-wu,GUO Shun-sheng and LIU Li-xia.The Pointwise Estimate for Stancu-Sikkema Operators[J].Journal of Mathematical Research with Applications,2003,23(1):59-64.
Authors:LIU Xi-wu  GUO Shun-sheng and LIU Li-xia
Affiliation:Center; of Comp.; Hebei University of Economy & Trade; Shijiazhuang; China;Dept. of Math.; Hebei Normal University; China;Dept. of Math.; Hebei Normal University; China
Abstract:In this paper, we construct Stancu-Sikkema operators and obtain the point-wise direct and converse theorems in terms of pointwise modulus of smoothness. Some results about Bernstein-Sikkema operators and Stancu operators are extended.
Keywords:Stancu-Sikkema operators  modulus of smoothness  K-functional  
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