简介:Anecessaryandsufficientconditionofregularityof(0,1,…,m-2,m)interpo-lationonthezerosoftheLaguerrepolynomialsLn(α)(x)(α≥-1)inamanageableformisestablished.Meanwhile,theexplicitrepresentationofthefundamentalpolynomials,whentheyexist,isgiven.Moreover,itisshownthat,iftheproblemof(0,1,…,m-2,TO)interpolationhasaninfinityofsolutions,thenthegeneralformofthesolutionsisf0(x)+Cf1(x)withanarbitraryconstantC.
简介:InthispaperwegiveaconvergencetheoremfornonC^0nonconformingfiniteelementtosolvetheellipticfourthordersingularperturbationproblem.Twosuchkindofelements,anineparametertriangularelementandatwelveparameterrectangularelementbothwithdoublesetparameters,arepresented.Theconvergenceandnumericalresultsofthetwoelementsaregiven.