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

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

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 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 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.