The asymptotic distribution of general interpolation arrays for exponential weights
Electronic transactions on numerical analysis, Tome 13 (2002), pp. 12-21
We study the asymptotic distribution of general interpolation arrays for a large class of even exponential weights on the line and ( - 1 1). Our proofs rely on deep properties of logarithmic potentials. We conclude , with some open problems.
Classification :
42C15, 42C05, 65D05
Keywords: asymptotic distribution, freud weight, erd acute$\Acute $os weight, exponential weight, interpolation, Lebesgue constant, logarithmic potential, pollaczek weight, sup norm, weighted approximation
Keywords: asymptotic distribution, freud weight, erd acute$\Acute $os weight, exponential weight, interpolation, Lebesgue constant, logarithmic potential, pollaczek weight, sup norm, weighted approximation
Damelin, S. B. The asymptotic distribution of general interpolation arrays for exponential weights. Electronic transactions on numerical analysis, Tome 13 (2002), pp. 12-21. http://geodesic.mathdoc.fr/item/ETNA_2002__13__a6/
@article{ETNA_2002__13__a6,
author = {Damelin, S. B.},
title = {The asymptotic distribution of general interpolation arrays for exponential weights},
journal = {Electronic transactions on numerical analysis},
pages = {12--21},
year = {2002},
volume = {13},
zbl = {1059.42023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2002__13__a6/}
}