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Approximation Properties of Newman Type Interpolation Rational Functions with Fewer Nodes
《Analysis in Theory and Applications》2023年第4期378-384,共7页Laiyi Zhu Xingjun Zhao 
supported by the National Nature Science Foundation of China(No.11571362);Fundamental Research Funds for the Central Universities(No.2652018054).
In the present note,we consider the problem:how many interpolation nodes can be deleted from the Newman-type rational function such that the convergence rate still achieve.
关键词：Rational function approximation Newman-type rational approximation interpolation nodes convergence rate 
A Remark on Pl Type Interpolation on Non-Uniformly Distributed Nodes on the Unit Circle
《Analysis in Theory and Applications》2014年第2期173-192,共20页Neha Mathur P.Mathur 
In this paper we study the problem of explicit representation and convergence of Pal type （0;1） interpolation and its converse, with some additional conditions, on the non-uniformly distributed nodes on the unit cir...
关键词：Pal type interpolation non-uniformly distributed set of points on unit circle Legendre polynomials. 
MEAN CONVERGENCE OF HERMITE-FEJER TYPE INTERPOLATION ON AN ARBITRARY SYSTEM OF NODES
《Analysis in Theory and Applications》2004年第3期199-214,共16页FengYongping CuiJunzhi 
Project 19671082 supported by National Natural Science Foundation of China, I acknowledge endless help from Prof. Shi Ying-Guang during finishing this paper.
In this paper sufficient conditions for mean convergence and rate of convergence of Hermite-Fejer type interpolation in the Lp norm on an arbitrary system of nodes are presented.
关键词：Hermite-Fejer interpolation Mean convergence Hermite interpolation Rate of convergence 
MEAN CONVERGENCE OF HERMITE-FEJER TYPE INTERPOLATION
《Analysis in Theory and Applications》1993年第2期89-103,共15页Shi Yingguang Chinese Academy of Sciences 
Supported by the National Natural Science Foundation of China.
L' convergence of Hermite-Fejer interpolation and quasi-Hermite-Fejer interpolation based upon ze- ros of general orthogonal polynomials is investigated. This paper 'almost' characterizes such convergence for all cont...
关键词：MEAN CONVERGENCE OF HERMITE-FEJER TYPE INTERPOLATION APPI MATH IIH 
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