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Weighted Approximation by Left Quasi-interpolants of Derivatives of Gamma Operators
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作者 JIANG HONG-BIAO 《Communications in Mathematical Research》 CSCD 2009年第4期289-298,共10页
In order to obtain much faster convergence, Miiller introduced the left Gamma quasi- interpolants and obtained an approximation equivalence theorem in terms of 2r wφ (f,t)p. Cuo extended the MiiUer's results to w... In order to obtain much faster convergence, Miiller introduced the left Gamma quasi- interpolants and obtained an approximation equivalence theorem in terms of 2r wφ (f,t)p. Cuo extended the MiiUer's results to wφ^24 (f, t)∞. In this paper we improve the previous results and give a weighted approximation equivalence theorem. 展开更多
关键词 gamma operator quasi-interpolant weighted approximation modulus of smoothness derivative
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POINTWISE SIMULTANEOUS APPROXIMATION BY LEFT GAMMA QUASI-INTERPOLANTS
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作者 Hongbiao Jiang 《Analysis in Theory and Applications》 2008年第2期120-128,共9页
Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. We consider left Gamma quasi-interpolants and give a pointwise simultaneous approximation equivalence theorem with... Recently some classical operator quasi-interpolants were introduced to obtain much faster convergence. We consider left Gamma quasi-interpolants and give a pointwise simultaneous approximation equivalence theorem with ωφλ^2r(f,t)∞ by means of unified the classical modulus and Ditzian-Totick modulus. 展开更多
关键词 gamma operator quasi-interpolant pointwise simultaneous approximation equivalent theorem
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左拟中插式Gamma算子在Orlicz空间中的逼近性质 被引量:1
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作者 韩领兄 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2018年第2期31-40,共10页
为了得到更快的逼近速度,人们开始研究算子的拟中插式的逼近性质.在Orlicz空间中讨论左拟中插式Gamma算子的逼近性质,利用了Ditzian-Totik模与K-泛函的等价性、Holder不等式、Cauchy-Schwarz不等式和Laguerre多项式等等工具得到了逼近... 为了得到更快的逼近速度,人们开始研究算子的拟中插式的逼近性质.在Orlicz空间中讨论左拟中插式Gamma算子的逼近性质,利用了Ditzian-Totik模与K-泛函的等价性、Holder不等式、Cauchy-Schwarz不等式和Laguerre多项式等等工具得到了逼近的正、逆和等价定理,推广了左拟中插式Gamma算子在L_p空间中的逼近结果,改进了Gamma算子在Orlicz空间的逼近性质. 展开更多
关键词 左拟中插式gamma算子 K-泛函 连续模 等价定理
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