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| The Average Errors for Hermite Interpolation on the 1-Fold Integrated Wiener Space |
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Citation： |
Guiqiao XU,Jingrui NING.The Average Errors for Hermite Interpolation on the 1-Fold Integrated Wiener Space[J].Chinese Annals of Mathematics B,2012,33(5):737~750 |
| Page view： 1728
Net amount： 1308 |
Authors： |
Guiqiao XU; Jingrui NING; |
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| Abstract： |
For the weighted approximation in $L_p$-norm, the authors determine the weakly asymptotic order for the $p$-average errors of the sequence of Hermite interpolation based on the Chebyshev nodes on the 1-fold integrated Wiener space. By this result, it is known that in the sense of information-based complexity, if permissible information functionals are Hermite data, then the $p$-average errors of this sequence are weakly equivalent to those of the corresponding sequence of the minimal $p$-average radius of nonadaptive information. |
Keywords： |
Chebyshev polynomial, Hermite interpolation, Weighted $L_p$-norm, 1-Fold integrated Wiener space |
Classification： |
41A05, 41A63, 65D05,41A25 |
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