ON THE CONVERGENCE OF SPLINE PRODUCT QUADRATURES FOR CAUCHY PRINCIPAL VALUE INTEGRALS

被引：17

作者：

DAGNINO, C ^{[1
]}

SANTI, E ^{[1
]}

机构：

[1] UNIV LAQUILA,FAC INGN,I-67100 LAQUILA,ITALY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 36卷 / 02期

关键词：

CAUCHY SINGULAR INTEGRALS; CUBIC B-SPLINES;

D O I：

10.1016/0377-0427(91)90025-F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper (this journal (1990)), the authors proposed product integration formulas, for the numerical evaluation of the Cauchy principal value integral f1-1u(x) f(x)/(x - lambda) dx, based on cubic spline interpolation of f, and obtained convergence results for functions f is-an-element-of C(k)[ -, 1], k = 1, 2 or 3. In this report, the same rules are considered and their convergence is investigated for a larger class of function f. An error bound and some uniform convergence results are established, in the case of equally spaced quadrature nodes, for functions f, satisfying a Holder condition of order mu on [ -1,1], 0 < mu less-than-or-equal-to 1.

引用

页码：181 / 187

页数：7

共 23 条

[11]

ELLIOTT D, 1979, MATH COMPUT, V33, P301, DOI 10.1090/S0025-5718-1979-0514825-2

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