NUMERICAL-INTEGRATION BASED ON APPROXIMATING SPLINES

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:33

Article

RABINOWITZ, P

关键词: APPROXIMATING SPLINES;    B-SPLINES;    PRODUCT INTEGRATION;    CAUCHY PRINCIPAL VALUE;   

DOI  :  10.1016/0377-0427(90)90257-Z

来源: Elsevier

【 摘 要 】

Convergence results are proved for product integration rules based on approximating splines. These results are both for bounded and unbounded integrands. Pointwise and uniform convergence results are proved for sequences of Cauchy principal values of these approximating splines.

【 授权许可】

Free