Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 173–192
Abstract
In this paper we study the problem of explicit representation and convergence of Pál 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 $P_n(x)$ and $P′_n(x)$ on the unit circle. The motivation to this problem can be traced to the recent studies on the regularity of Birkhoff interpolation and Pál type interpolations on non-uniformly distributed zeros on the unit circle.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.4
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 173–192
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Pál type interpolation non-uniformly distributed set of points on unit circle Legendre polynomials.