ON THE ERROR OF QUADRATURE FORMULAE FOR CAUCHY PRINCIPAL VALUE INTEGRALS BASED ON PIECEWISE INTERPOLATION

(整期优先)网络出版时间:1997-03-13
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Weconsiderthecomputationofthe.Cauchyprincipalvaluemtegralbyquadratureformulaeofcompoundtype,whichareobtainedbyreplacingfbyapiecewisedefinedfunctionF,[_f].Thebehaviouroftheconstantsmtheestimateswherequadratureerror)isdeterminedforfixediandwhichmeansthatnotonlythe.order,butalsothecoefficientofthemaintermofisdetermined.Thebehaviouroftheseerrorconstantsiscompared-withthecorrespondingonesobtainedforthe.methodofsubtractionofthesingularity.Asitturnsout,theseerrorconstantshave,ingeneral,thesameasymptoticbehaviour.