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.

引用

页码：87 / 96

页数：10

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