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Norm Estimates for Interpolation Methods Defined by Means of Polygons

Cobos, Fernando and Fernández-Martínez, Pedro and Schonbek, Tomas (1995) Norm Estimates for Interpolation Methods Defined by Means of Polygons. Journal of Approximation Theory, 80 (3). pp. 321-351. ISSN 1096-0430

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021904585710210

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Abstract

We study interpolation methods associated to polygons and establish estimates for the norms of interpolated operators. Our results explain the geometrical base of estimates in the literature. Applications to interpolation of weighted L(p)-spaces are also given.


Item Type:Article
Uncontrolled Keywords:Wolff Theorem; Banach-Spaces; Mathematics
Subjects:Sciences > Mathematics > Numerical analysis
ID Code:15326
Deposited On:23 May 2012 08:56
Last Modified:06 Feb 2014 10:21

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