A Remark on Pl Type Interpolation on Non-Uniformly Distributed Nodes on the Unit Circle  

作　　者：Neha Mathur P.Mathur 

机构地区：[1]Department of Mathematics, Career Convent Degree College [2]Department of Mathematics and Astronomy, Lucknow University

出　　处：《Analysis in Theory and Applications》2014年第2期173-192,共20页分析理论与应用（英文刊）

摘　　要：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 circle obtaIned by projecting the interlaced zeros of Pn （x） and Pn′ （x） on the unit circle. The motivation to this problem can be traced to the recent studies on the regularity of Birkhoff interpolation and Pal type interpolations on non-uniformly distributed zeros on the unit circle.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 circle obtaIned by projecting the interlaced zeros of Pn （x） and Pn′ （x） on the unit circle. The motivation to this problem can be traced to the recent studies on the regularity of Birkhoff interpolation and Pal type interpolations on non-uniformly distributed zeros on the unit circle.

关 键 词：Pal type interpolation non-uniformly distributed set of points on unit circle Legendre polynomials. 

分 类 号：O186[理学—数学]