The Average Errors for the Grünwald Interpolation in the Wiener Space
We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Tchebycheff nodes in the Wiener space. By these results we know that for the 𝐿𝑝-norm (2≤𝑞≤4) approximation, the 𝑝-average (1≤𝑝≤4) error of some Grünwald interpolation sequences i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/475320 |
| Summary: | We determine the weakly asymptotically orders for the average errors
of the Grünwald interpolation sequences based on the Tchebycheff nodes
in the Wiener space. By these results we know that for the 𝐿𝑝-norm
(2≤𝑞≤4) approximation, the 𝑝-average (1≤𝑝≤4) error of some Grünwald interpolation sequences is weakly equivalent to the 𝑝-average
errors of the best polynomial approximation sequence. |
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| ISSN: | 1026-0226 1607-887X |