On some quadrature formulas on the real line with the higher degree of accuracy and its applications

被引：0

作者：

Gavrea, Ioan ^{[1
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Math, 28 Memorandumului St, Cluj Napoca 400114, Romania

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2011年 / 56卷 / 02期

关键词：

Orthogonal polynomials; quasi-orthogonal polynomials; zeros; quadrature formulas;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study quadrature formulas with the higher degree of accuracy. We study the quasi-orthogonality of orthogonal polynomials and we give some results on the location of their zeros.

引用

页码：359 / 367

页数：9

共 41 条

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MYSOVSKIKH, IP
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[2] OPTIMAL QUADRATURE-FORMULAS ON THE REAL LINE
DRYANOV, DP
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RUSSIAN MATHEMATICS, 2007, 51 (07) : 25 - 37
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Solak, Wieslaw
Szydelko, Zbigniew
OPUSCULA MATHEMATICA, 2008, 28 (02) : 109 - 121
[5] Quadrature formulas of the highest trigonometric accuracy grade and their applications
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Russian Mathematics, 2007, 51 (7) : 25 - 37
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欧阳梓祥
吴新元
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Monegato, G.
NUMERICAL ALGORITHMS, 2008, 49 (1-4) : 283 - 297
[8] Some new applications of truncated Gauss-Laguerre quadrature formulas
G. Mastroianni
G. Monegato
Numerical Algorithms, 2009, 52 : 507 - 507
[9] Some new applications of truncated Gauss-Laguerre quadrature formulas
G. Mastroianni
G. Monegato
Numerical Algorithms, 2008, 49 : 283 - 297
[10] On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line
Adhemar Bultheel
Ruymán Cruz-Barroso
Marc Van Barel
Calcolo, 2010, 47 : 21 - 48

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