Bernstein bases and Hahn-Eberlein orthogonal polynomials

被引：10
|
作者：
Ronveaux, A [1 ]
Zarzo, A
Area, I
Godoy, E
机构：
[1] Fac Univ Notre Dame Paix, B-5000 Namur, Belgium
[2] Univ Politecn Madrid, Escuela Tecn Super Ingn Ind, Dept Matemat Aplicada, Madrid 28006, Spain
[3] Univ Vigo, Escuela Tecn Super Ingn Telecommun, Dept Matemat Aplicada, Vigo 36200, Spain
[4] Univ Vigo, Escuela Tecn Super Ingn Telecommun, Dept Matemat Aplicada, Vigo 36200, Spain
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1998年 / 7卷 / 1-2期
关键词：
orthogonal polynomials; Bernstein bases; Hahn-Eberlein polynomials; Hahn polynomials; shifted Jacobi polynomials;
D O I：
10.1080/10652469808819188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Expansions of continuous and discrete Bernstein bases on shifted Jacobi and Hahn polynomials, respectively, are explicitly obtained in terms of Hahn-Eberlein orthogonal polynomials. The basic tool is an algorithm, recently developed by the authors, which allows one to solve the connection problem between two families of polynomials recurrently.
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页码：87 / 96
页数：10
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