简介:Inthispaper,wedevelopGaussianquadratureformulasfortheHadamardfi-nitepartintegrals.Inourformulas,theclassicalorthogonalpolynomialssuchasLegendreandChebyshevpolynomialsareusedtoapproximatethedensityfunctionf(x)sothattheGaussianquadratureformulashavedegreen-1.Theerrorestimatesoftheformulasareobtained.Itisfoundfromthenumericalexamplesthattheconvergencerateandtheaccu-racyoftheapproximationresultsaresatisfactory.Moreover,therateandtheaccuracycanbeimprovedbychoosingappropriateweightfunctions.