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修正的Szász算子的强逆不等式(英文)
引用本文:杨汝月,熊静宜,曹飞龙.修正的Szász算子的强逆不等式(英文)[J].数学研究与评论,2004,24(3):437-444.
作者姓名:杨汝月  熊静宜  曹飞龙
作者单位:中国计量学院信息与数学科学系,浙江,杭州,310018;中国计量学院信息与数学科学系,浙江,杭州,310018;中国计量学院信息与数学科学系,浙江,杭州,310018
基金项目:Supported by the Foundation of Key Item of Science and Technology of Education Ministry of China(03142),Foundation of Higher School of Ningxia(JY2002107)
摘    要:本文证明修正的Szász算子逼近的强型正定理和逆定理,从而得到该算子逼近特征的刻画.所获结果类似于Szász算子相应的结果.

关 键 词:修正的Szász算子    强逆不等式    逼近

Strong Converse Inequality for Modified Szasz Operators
YANG Ru-yue,XIONG Jing-yi and CAO Fei-long.Strong Converse Inequality for Modified Szasz Operators[J].Journal of Mathematical Research and Exposition,2004,24(3):437-444.
Authors:YANG Ru-yue  XIONG Jing-yi and CAO Fei-long
Institution:Dept. of Inform. & Math.; China Institute of Metrology; Hangzhou; China;Dept. of Inform. & Math.; China Institute of Metrology; Hangzhou; China;Dept. of Inform. & Math.; China Institute of Metrology; Hangzhou; China
Abstract:In this paper, we show the direct and converse theorems of strong type of approximation for modified Szász operators. Rom these theorems, the characterization of approximation for these operators is derived. The obtained results are similar to the corresponding ones of the Szász operators.
Keywords:Modified Szasz operators  strong converse inequality  approximation  
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