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Error bounds for minimal energy bivariate polynomial splines |
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| Authors: | Manfred von Golitschek Ming-Jun Lai Larry L Schumaker |
| Institution: | Institut für Angewandte Mathematik und Statistik der Universit?t Würzburg, 97074 Würzburg, Germany; e-mail: goli@mathematik.uni-wuerzburg.de, DE Department of Mathematics, The University of Georgia, Athens, GA 30602, USA; e-mail: mjlai@math.uga.edu, US Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA; e-mail: s@mars.cas.vanderbilt.edu, US |
| Abstract: | Summary. We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms. Received March 28, 2000 / Revised version received June 23, 2000 / Published online March 8, 2002 RID="*" ID="*" Supported by the National Science Foundation under grant DMS-9870187 RID="**" ID="**" Supported by the National Science Foundation under grant DMS-9803340 and by the Army Research Office under grant DAAD-19-99-1-0160 |
| Keywords: | Mathematics Subject Classification (1991): 65D07 41A15 |
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