Abstract | ||
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A quadrature rule as simple as the classical Gauss formula, with a lower computational cost and having the same convergence order of best weighted polynomial approximation in L1 is constructed to approximate integrals on unbounded intervals. An analogous problem is discussed in the case of Lagrange interpolation in weighted L2 norm. The order of convergence in our results is the best in the literature for the considered classes of functions. |
Year | DOI | Venue |
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2003 | 10.1016/S0885-064X(03)00008-6 | J. Complexity |
Keywords | DocType | Volume |
best weighted polynomial approximation,approximate integral,analogous problem,Exponential weight,lower computational cost,L2 norm,Gauss quadrature formulas,Gaussian rule,unbounded interval,classical Gauss formula,Lagrange interpolation,quadrature rule,convergence order | Journal | 19 |
Issue | ISSN | Citations |
3 | Journal of Complexity | 3 |
PageRank | References | Authors |
0.63 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Biancamaria Della Vecchia | 1 | 5 | 3.13 |
Giuseppe Mastroianni | 2 | 35 | 10.38 |