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广义Baskakov算子逼近的余项估计
引用本文:孔妮娜,高义,薛银川. 广义Baskakov算子逼近的余项估计[J]. 兰州理工大学学报, 2008, 34(6)
作者姓名:孔妮娜  高义  薛银川
作者单位:1. 北方民族大学,信息与计算科学学院,宁夏,银川,750021
2. 宁夏大学,数学计算机学院,宁夏,银川,750021
基金项目:北方民族大学科学研究基金(2005Y019)的资助;在此表示感谢  
摘    要:引进广义Baskakov算子逼近的余项定义,针对三类不同的函数对该余项加以讨论,给出余项的三种估计形式.得到的结果更加广泛,此结果同时改进已有的关于广义Baskakov算子逼近度的定理,即给出更加精细的特征刻画.

关 键 词:广义Baskakov算子  逼近  余项估计

Estimation of remainders of approximation by using generalized Baskakov operator
KONG Ni-na,GAO Yi,XUE Yin-chuan. Estimation of remainders of approximation by using generalized Baskakov operator[J]. Journal of Lanzhou University of Technology, 2008, 34(6)
Authors:KONG Ni-na  GAO Yi  XUE Yin-chuan
Affiliation:KONG Ni-na1,GAO Yi1,XUE Yin-chuan2(1.School of Information , Computation Science,North University for Nationalities,Yinchuan 750021,China,2.School of Mathematics , Computer Science,Ningxia University,China)
Abstract:The definition of approximated remainders with generalized Baskakov operator was introduced,the remainders were discussed for three kinds of functions,and three forms of estimated remainders were obtained,so that the results became even more generalized.Meantime,the available theorem of approximation degree of generalized Baskakov operator was improved.
Keywords:generalized Baskakov operator  approximation  remainder estimation  
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