ANOTHER QUADRATURE RULE OF HIGHEST ALGEBRAIC DEGREE OF PRECISION

被引：28

作者：

RANGA, AS

机构：

[1] Departamento de Ciências Da Computação E Estatística, IBILCE, Universidade Estadual Paulista (UNESP), São Paulo, 15054-000, Campus de São Jose de Rio Preto

来源：

NUMERISCHE MATHEMATIK | 1994年 / 68卷 / 02期

关键词：

D O I：

10.1007/s002110050062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider certain quadrature rules of highest algebraic degree of precision that involve strong Stieltjes distributions (i.e., strong distributions on the positive real axis). The behavior of the parameters of these quadrature rules, when the distributions are strong c-inversive Stieltjes distributions, is given. A quadrature rule whose parameters have explicit expressions for their determination is presented. An application of this quadrature rule for the evaluation of a certain type of integrals is also given.

引用

页码：283 / 294

页数：12

共 12 条

[1] ORTHOGONAL LAURENT-POLYNOMIALS AND CONTINUED FRACTIONS ASSOCIATED WITH LOG-NORMAL DISTRIBUTIONS [J].

COOPER, SC ;

JONES, WB ;

THRON, WJ .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 32 (1-2) :39-46

[2]

GAUTSCHI W, 1981, INFLUENCE HIS WORK M, P72

[3]

Henrici P., 1982, ESSENTIALS NUMERICAL

[4]

Jones W.B., 1981, QUANTUM MECH MATH CH, P449

[5] 2-POINT PADE EXPANSIONS FOR A FAMILY OF ANALYTIC-FUNCTIONS [J].

JONES, WB ;

NJASTAD, O ;

THRON, WJ .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1983, 9 (02) :105-123

[6] A STRONG STIELTJES MOMENT PROBLEM [J].

JONES, WB ;

THRON, WJ ;

WAADELAND, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 261 (02) :503-528

[7]

Krylov VI., 2006, APPROXIMATE CALCULAT

[8]

MCCABE JH, 1975, J I MATH APPL, V15, P363

[9]

Njastad O., 1983, SKR K VIDENSK SELSK, V1983, P54

[10] ON THE EXTENSIONS OF SOME CLASSICAL DISTRIBUTIONS [J].

RANGA, AS ;

MCCABE, JH .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1991, 34 :19-29

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