Regularity of some ‘incomplete’ Pál-type interpolation problems

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摘要

In this paper the regularity of nine Pál-type interpolation problems is proved. In the literature interpolation on the zeros of the pairwn(α)(z)=(z+α)n+(1+αz)n,vn(α)(z)=(z+α)n−(1+αz)nwith 0<α<1 has been studied. Here the nodes form a subset of these sets of zeros.

论文关键词：41A05,Pál type interpolation,Regularity,Non-uniformly distributed nodes,Roots of unity,Möbius transform

论文评审过程：Received 18 September 2000, Available online 27 November 2001.

论文官网地址：https://doi.org/10.1016/S0377-0427(01)00591-X