NUMERICAL-INTEGRATION BASED ON APPROXIMATING SPLINES

[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.

[发布日期] 1990-12-17

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