Lebesgue functions and Lebesgue constants in polynomial interpolation
Abstract The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function. Moreover, if the interpolant is computed by using the Lagrange basis, then the Le...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1030-3 |