Gaussian rules on unbounded intervals

✍ Scribed by Biancamaria Della Vecchia; Giuseppe Mastroianni

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 168 KB
• Volume: 19
• Category: Article
• ISSN: 0885-064X
• DOI: 10.1016/s0885-064x(03)00008-6

✦ Synopsis

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 L 1 is constructed to approximate integrals on unbounded intervals. An analogous problem is discussed in the case of Lagrange interpolation in weighted L 2 norm. The order of convergence in our results is the best in the literature for the considered classes of functions.