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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On Hermite-Fejér interpolation in a Jordan domain


Authors: Charles K. Chui and Xie Chang Shen
Journal: Trans. Amer. Math. Soc. 323 (1991), 93-109
MSC: Primary 41A05; Secondary 41A10, 41A25
MathSciNet review: 1018573
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Abstract: The Hermite-Fejér interpolation problem on a Jordan domain is studied. Under certain mild conditions on the smoothness of the boundary curve, we give both uniform and $ {L^p}$, $ 0 < p < \infty $, estimates on the rate of convergence. Our estimates are sharp even for the unit disk setting.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1991-1018573-6
PII: S 0002-9947(1991)1018573-6
Keywords: Hermite-Fejér interpolation, rate of convergence, Jordan domain, asymptotic formulas
Article copyright: © Copyright 1991 American Mathematical Society