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On the Lebesgue function for lagrange interpolation with equidistant nodes
Published online by Cambridge University Press: 09 April 2009
Abstract
Properties of the Lebesgue function associated with interpolation at the equidistant nodes , are investigated. In particular, it is proved that the relative maxima of the Lebesgue function are strictly decreasing from the outside towards the middle of the interval [0, n], and upper and lower bounds, and an asymptotic expansion, are obtained for the smallest maximum when n is odd.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 52 , Issue 1 , February 1992 , pp. 111 - 118
- Copyright
- Copyright © Australian Mathematical Society 1992
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