@Article{AAMM-8-117,
author = {Ding , JiuRhee , Noah H. and Zhang , Chenhua},
title = {On Polynomial Maximum Entropy Method for Classical Moment Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {1},
pages = {117--127},
abstract = {<p style="text-align: justify;">The maximum entropy method for the Hausdorff moment problem suffers
from ill conditioning as it uses monomial basis {1,$x$,$x^2$,···,$x^n$}. The maximum entropy
method for the Chebyshev moment probelm was studied to overcome this drawback
in [4]. In this paper we review and modify the maximum entropy method for the
Hausdorff and Chebyshev moment problems studied in [4] and present the maximum
entropy method for the Legendre moment problem. We also give the algorithms of
converting the Hausdorff moments into the Chebyshev and Lengendre moments, respectively,
and utilizing the corresponding maximum entropy method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m504},
url = {http://global-sci.org/intro/article_detail/aamm/12080.html}
}