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

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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.

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Project supported by Special Funds for Major State Basic Research Projects (No.G19990328) and Zhejiang Provincial Natural Science Foundation of China (No. G100002)

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Shi-jun, Y. Gauss-Radau and Gauss-Lobatto formulae for the Jacobi weight and Gori-Micchelli weight functions. J. Zhejiang Univ.-Sci. 3, 455–460 (2002). https://doi.org/10.1631/BF02839490

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  • DOI: https://doi.org/10.1631/BF02839490

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