ON GREGORY-TYPE AND MODIFIED GREGORY-TYPE CORRECTIONS TO NEWTON-COTES QUADRATURE

[摘要] Gregory-type formulae associated with the class of composite Newton-Cotes quadrature rules of the closed type are established. Furthermore, it is shown how these formulae can be extended by introducing mixed interpolation functions which contain a polynomial and a trigonometric part. The case of the modified Gregory rules associated with the composite Simpson quadrature rule is worked out in detail. Also the error term is analysed and the obtained rules are numerically tested.

[发布日期] 1994-05-20

[效力级别]  Proceedings Paper

[关键词] QUADRATURE RULES;NEWTON-COTES RULES;GREGORY RULES;MIXED INTERPOLATION