Szego-type quadrature formulas

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Cruz-Barroso, Ruyman¹  Diaz Mendoza, Carlos¹  Perdomo-Pio, Francisco¹ 

[1] La Laguna Univ, Dept Math Anal, Tenerife 38271, Canary Islands, Spain

关键词: Laurent polynomials;    Quadrature formulas;    Unit circle;    Szego polynomials;    Error analysis;    Para-orthogonal polynomials;   

DOI  :  10.1016/j.jmaa.2017.05.055

来源: Elsevier

【 摘 要 】

We consider the approximation of integrals with respect to measures supported on the unit circle by means of positive quadrature formulas with maximal domain of exactness and up to three preassigned nodes. The quadrature formulas are exact in a new nested sequence of subspaces of Laurent polynomials that allows us to extend analogous properties to the usual quadrature formulas on the real line. Estimations for the error of these quadrature formulas depending on the regularity of the integrand are obtained. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free