Krall-type orthogonal polynomials in several variables

被引：15

作者：

Fernandez, Lidia ^{[1
,2
]}

Perez, Teresa E. ^{[1
,2
]}

Pinar, Miguel A. ^{[1
,2
]}

Xu, Yuan ^{[3
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Granada, Inst Carlos Fis Teor & Computac 1, E-18071 Granada, Spain

[3] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 06期

关键词：

Orthogonal polynomials in several variables; Krall-type orthogonal polynomials; Reproducing kernel; WEIGHT;

D O I：

10.1016/j.cam.2009.02.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional defined in the linear space of polynomials in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1519 / 1524

页数：6