| ON QUADRATURE FORMULAE FOR SINGULAR INTEGRALS OF ARBITRARY ORDER |
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| 作者姓名： | 杜金元 |
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| 作者单位： | DepartmentofMathematics,HubeiInstituteforNationalities,Enshi445000,China |
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| 基金项目： | Supported by NNSF and RFDP of Higher Education of China. |
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| 摘 要： | Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given.
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| 关 键 词： | 奇异积分公式 收敛性 Peano导数 广义Hermite插值 |
ON QUADRATURE FORMULAE FOR SINGULAR INTEGRALS OF ARBITRARY ORDER |
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| Du Jinyuan.ON QUADRATURE FORMULAE FOR SINGULAR INTEGRALS OF ARBITRARY ORDER[J].Acta Mathematica Scientia,2004,24(1):9-27. |
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| Authors: | Du Jinyuan |
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| Institution: | Du Jinyuan
Department of Mathematics,Wuhan University,Wuhan 430072,China Department of Mathematics,Hubei Institute for Nationalities,Enshi 445000,China |
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| Abstract: | Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given. |
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| Keywords: | Peano derivative generalized Hermite interpolation singular integral of arbitrary order singular quadrature formula |
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