Title
Gaussian rules on unbounded intervals
Abstract
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
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 Vecchia153.13
Giuseppe Mastroianni23510.38