Matrix Transformations and Disk of Convergence in Interpolation Processes
Let 𝐴𝜌 denote the set of functions analytic in |𝑧|<𝜌 but not on |𝑧|=𝜌(1<𝜌<∞). Walsh proved that the difference of the Lagrange polynomial interpolant of 𝑓(𝑧)∈𝐴𝜌 and the partial sum of the Taylor polynomial of 𝑓 converges to zero on a larger set than the domain of definition of 𝑓. In 1980, C...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/905635 |