Title of article
Gauss–Lobatto to Bernstein polynomials transformation
Author/Authors
Coluccio، نويسنده , , Loredana and Eisinberg، نويسنده , , Alfredo and Fedele، نويسنده , , Giuseppe، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
690
To page
700
Abstract
The aim of this paper is to transform a polynomial expressed as a weighted sum of discrete orthogonal polynomials on Gauss–Lobatto nodes into Bernstein form and vice versa. Explicit formulas and recursion expressions are derived. Moreover, an efficient algorithm for the transformation from Gauss–Lobatto to Bernstein is proposed. Finally, in order to show the robustness of the proposed algorithm, experimental results are reported.
Keywords
orthogonal polynomials , Gauss–Lobatto nodes , Bernstein polynomials
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2008
Journal title
Journal of Computational and Applied Mathematics
Record number
1554682
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