Regularity of some 'incomplete' Pal-type interpolation problems

[摘要] In this paper the regularity of nine Pil-type interpolation problems is proved. In the literature interpolation on the zeros of the pair W-n((alpha))(z) = (z + alpha)(n) + (1 + alphaz)(n), v(n)((alpha))(z) = (z + alpha)(n) - (1 + alphaz)(n) with 0 < alpha < 1 has been studied. Here the nodes form a subset of these sets of zeros. (C) 2001 Elsevier Science B.V. All rights reserved.

[发布日期] 2002-08-15

[关键词] Pal type interpolation;regularity;non-uniformly distributed nodes;roots of unity;Mobius transform