TY - JOUR
T1 - A Remark on Pál Type Interpolation on Non-Uniformly Distributed Nodes on the Unit Circle
JO - Analysis in Theory and Applications
VL - 2
SP - 173
EP - 192
PY - 2014
DA - 2014/06
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n2.4
UR - https://global-sci.org/intro/article_detail/ata/4483.html
KW - Pál type interpolation, non-uniformly distributed set of points on unit circle, Legendre polynomials.
AB - <p style="text-align: justify;">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.</p>