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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and Gori-Micchelli weight functions

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


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DOI:

10.1631/jzus.2002.0455

CLC number:

O241.4

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On-line Access:

2024-08-27

Received:

2023-10-17

Revision Accepted:

2024-05-08

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