| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4646060 | Applied Numerical Mathematics | 2008 | 9 Pages |
Abstract
For the practical estimation of the error of Gauss quadrature rules, Gauss–Kronrod formulas are widely used; but, for the Gegenbauer measure, , real positive Gauss–Kronrod formulas do not exist for α>3 and n sufficiently large. Among the alternatives which are available in the literature, Gauss–Lobatto and anti-Gauss formulas are of particular interest. In this paper, using the modified anti-Gauss formulas introduced by Ehrich, we determine the degree optimal stratified extensions of Gauss–Gegenbauer formulas, and we investigate their properties.
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