<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Mennouni, A</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A QUASI-INTERPOLATION SPLINE FOR CAUCHY INTEGRAL EQUATIONS VIA REGULARIZATION</style></title><secondary-title><style face="normal" font="default" size="100%">Rendiconti del Seminario Matematico della Università di Padova</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><edition><style face="normal" font="default" size="100%">2</style></edition><volume><style face="normal" font="default" size="100%">76</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	In this paper, we present some our ongoing researches related to a collocation method based on a double projection scheme via regularization procedure, to numerically solve Cauchy integral equations of the second kind. For the collocation approach, we use spline quasi-interpolating projectors of degree $d$. We prove the existence of the solution for a double projection scheme. Moreover, we give new error bounds.
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