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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2002, Vol. 3 Issue (4): 455-460    DOI: 10.1631/jzus.2002.0455
Applied Mathematics     
Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and Gori-Micchelli weight functions
YANG Shi-jun
Department of Mathematics, Zhejiang University, Hangzhou 310028, China
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Abstract  The main purpose of this work is to find for any non-negative measure, the relations between the Gauss-Radau and Gauss-Lobatto formula and Gauss formulae for the same measure. As applications, the author obtained the explicit Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and the Gori-Micchelli weight.

Key words： Quadrature      Gauss-Radau formula      Gauss-Lobatto formula      Gori-Micchelli weight     
CLC:  O241.4  
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YANG Shi-jun
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YANG Shi-jun. Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and Gori-Micchelli weight functions. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2002, 3(4): 455-460.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2002.0455     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2002/V3/I4/455

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