PRODUCT INTEGRATION OF SINGULAR INTEGRANDS USING QUASI-INTERPOLATORY SPLINES

Authors
DAGNINO C RABINOWITZ P
Citation
C. Dagnino et P. Rabinowitz, PRODUCT INTEGRATION OF SINGULAR INTEGRANDS USING QUASI-INTERPOLATORY SPLINES, Computers & mathematics with applications, 33(1-2), 1997, pp. 59-67
Citations number
4
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
33
Issue
1-2
Year of publication
1997
Pages
59 - 67
Database
ISI
SICI code
0898-1221(1997)33:1-2<59:PIOSIU>2.0.ZU;2-U
Abstract
We consider product integrals of the form [GRAPHICS] where kf is an el ement of L(1) but f is unbounded in the integration interval. We shall approximate f by a sequence of quasi-interpolatory splines Q(n)f invo lving only function values and study the convergence of I(kQ(n)f) to I (kf). It turns out that we can ignore an endpoint singularity but must , in general, avoid an interior singularity.