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关于Baskakov-Durrmeyer算子的强逆逼近 被引量:1
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作者 杨戈 石宁 徐爱华 《河北工程大学学报(自然科学版)》 CAS 2007年第1期110-112,共3页
本文对Baskakov-Durrmeyer算子证明了其强逆逼近。关于这些不等式Ditzian,Ivanov等用不同的方法得到过,但其结果是λ=1的情况,古典结果λ=0不包括。本文引入K-泛函将已有结论推广到0λ1的情形。
关键词 强逆逼近 K-泛函 Baskakov—Durrrmeyer算子
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Strong Converse Inequalities for Szasz-Mirakjan Operators with Weights 被引量:5
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作者 LIU Guo-jun XUE Yin-chuan SUN Wei-bin 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期384-389,共6页
In this paper, we give the strong converse inequalities of type B with the new K-functional Kλα(f,t2)w(0 ≤λ≤ 1, 0 < α < 2) on weighted approximation for Sz′asz-Mirakjan operators, which extend the previou... In this paper, we give the strong converse inequalities of type B with the new K-functional Kλα(f,t2)w(0 ≤λ≤ 1, 0 < α < 2) on weighted approximation for Sz′asz-Mirakjan operators, which extend the previous results. 展开更多
关键词 Szasz-Mirakjan operators strong converse inequalities APPROXIMATION
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Strong Converse Inequality for Modified Szasz Operators
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作者 杨汝月 熊静宜 曹飞龙 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2004年第3期437-444,共8页
In this paper, we show the direct and converse theorems of strong type of approximation for modified Szasz operators. Rom these theorems, the characterization of approximation for these operators is derived. The obtai... In this paper, we show the direct and converse theorems of strong type of approximation for modified Szasz operators. Rom these theorems, the characterization of approximation for these operators is derived. The obtained results are similar to the corresponding ones of the Szasz operators. 展开更多
关键词 Modified Szasz operators strong converse inequality approximation.
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