ON THE UNIFORM-CONVERGENCE OF CAUCHY PRINCIPAL VALUES OF QUASI-INTERPOLATING SPLINES

被引：9

作者：

RABINOWITZ, P

SANTI, E

机构：

[1] WEIZMANN INST SCI,DEPT APPL MATH & COMP SCI,IL-76100 REHOVOT,ISRAEL

[2] UNIV LAQUILA,DEPT ENERGET,I-67100 LAQUILA,ITALY

来源：

BIT | 1995年 / 35卷 / 02期

关键词：

CAUCHY PRINCIPAL VALUE; SPLINE;

D O I：

10.1007/BF01737167

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, quasi-interpolating splines are used to approximate the Cauchy principal value integral J(w(alpha beta)f;lambda) := integral(-1)(1) w(alpha beta)(x)f(x)/x-lambda dx, lambda is an element of (-1,1) where w(alpha beta)(x) := (1 - x)(alpha)(1 + x)(beta), alpha,beta > -1. We prove uniform convergence for the quadrature rules proposed here and give an algorithm for the numerical evaluation of these rules.

引用

页码：277 / 290

页数：14

共 29 条

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Santi, E
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[2] UNIFORM-CONVERGENCE FOR CAUCHY PRINCIPAL VALUE INTEGRALS OF MODIFIED QUASI-INTERPOLATORY SPLINES
DEMICHELIS, V
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ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 20 : 195 - 207
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Martin Hering-Bertram
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Frank Zeilfelder
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Hering-Bertram, Martin
Reis, Gerd
Zeilfelder, Frank
COMPUTING, 2009, 86 (2-3) : 89 - 100
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RABINOWITZ, P
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DEMICHELIS, V
SANTI, E
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[9] Bivariate quasi-interpolating splines with applications in numerical integration
Dagnino C.
Rendiconti del Seminario Matematico e Fisico di Milano, 1998, 68 (1): : 231 - 241
[10] ON THE UNIFORM-CONVERGENCE OF GAUSSIAN QUADRATURE-RULES FOR CAUCHY PRINCIPAL VALUE INTEGRALS
CRISCUOLO, G
MASTROIANNI, G
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