Title: Weighted approximation with varying weights: The case of a power-type singularity
Authors: Kuijlaars, Arno # ×
Issue Date: 1996
Series Title: Journal of mathematical analysis and applications vol:204 issue:2 pages:409-418
Abstract: The class of functions that can be uniformly approximated by weighted polynomials of the form w^n P_n with deg P_n less than or equal to n, depends on the behavior of the extremal measure associated with w as introduced by Mhaskar and Saff. It is shown that if in a neighborhood of a point to the extremal measure has a density with a power-type singularity at t_0, then every uniform limit vanishes at t_0. This complements results of Totik for continuous positive densities and Kuijlaars for densities that vanish at t_0. (C) 1996 Academic Press, Inc.
ISSN: 0022-247X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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