ON THE ERROR OF QUADRATURE FORMULAE FOR CAUCHY PRINCIPAL VALUE INTEGRALS BASED ON PIECEWISE INTERPOLATION-中国期刊网

摘要 Weconsiderthecomputationofthe.Cauchyprincipalvaluemtegralbyquadratureformulaeofcompoundtype,whichareobtainedbyreplacingfbyapiecewisedefinedfunctionF,[_f].Thebehaviouroftheconstantsmtheestimateswherequadratureerror)isdeterminedforfixediandwhichmeansthatnotonlythe.order,butalsothecoefficientofthemaintermofisdetermined.Thebehaviouroftheseerrorconstantsiscompared-withthecorrespondingonesobtainedforthe.methodofsubtractionofthesingularity.Asitturnsout,theseerrorconstantshave,ingeneral,thesameasymptoticbehaviour.

1Kai Diethelm. ASYMPTOTICALLY SHARP ERROR BOUNDS FOR A QUADRATURE RULE FOR CAUCHY PRINCIPAL VALUE INTEGRALS BASED ON PIECEWISE LINEAR INTERPOLATION.基础数学,1995-04.
2M.G.Cimoroni. NUMERICAL EVALUATION OF A 2-D CAUCHY PRINCIPAL VALUE INTEGRAL BASED ON QUASI-INTERPOLATING SPLINES.基础数学,1997-04.
3LiangYuLIN;ChunHuiQIU. The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C^n.基础数学,2004-06.
4Samir A.Ashour. A QUADRATURE RULE FOR HADAMARD FINITE PART INTEGRALS.基础数学,1996-04.
5PAN Jian-xun;BAO Fang-xun;ZHAO Yi-bo. A Type of C^2 Piecewise Rational Interpolation.计算机应用技术,2015-01.
6SamirA.Ashour. INTERPOLATORY QUADRATURE RULE FOR EVALUATION OF CERTAIN SINGULAR INTEGRALS.基础数学,1999-02.
7Riaz A.Usmani. ERROR BOUNDS IN PERIODIC QUARTIC SPLINE INTERPOLATION.基础数学,1996-03.
8杜金元;许娜;张忠祥. BOUNDARY BEHAVIOR OF CAUCHY-TYPE INTEGRALS IN CLIFFORD ANALYSIS.基础数学,2009-01.
9. B Spline Interpolation Based on Optimization.计算机应用技术,1997-02.
10HuYang TingYang. Outlier Mining Based on Principal Component Estimation.基础数学,2005-02.

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

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

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