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
@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/}
}
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/