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

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

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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.

作者 Neha Mathur P.Mathur

机构地区 Department of Mathematics Department of Mathematics and Astronomy

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）

关键词 Pal type interpolation non-uniformly distributed set of points on unit circle Legendre polynomials. Pal type interpolation, non-uniformly distributed set of points on unit circle, Legendre polynomials.

分类号 O186 [理学—基础数学]

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

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