The paper deals with the approximation of integrals R fw, where w is a Markov–Sonin weight and f can be singular at the origin. Gaussian-type quadrature rules, having a better behaviour w.r.t. the ordinary Gaussian rule, are introduced.Error estimates in weighted L1 norm and some numerical tests are given.
Markov-Sonin gaussian rule for singular functions
MASTROIANNI, Giuseppe Maria;OCCORSIO, Donatella
2004-01-01
Abstract
The paper deals with the approximation of integrals R fw, where w is a Markov–Sonin weight and f can be singular at the origin. Gaussian-type quadrature rules, having a better behaviour w.r.t. the ordinary Gaussian rule, are introduced.Error estimates in weighted L1 norm and some numerical tests are given.File in questo prodotto:
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