Averaged cubature schemes on the real positive semiaxis

Abstract

Stratified cubature rules are proposed to approximate double integrals defined on the real positive semiaxis. In particular, anti-Gauss cubature formulae are introduced and averaged cubature schemes are developed. Some of their appropriate modifications are also studied. Several numerical experiments are given to testify the performance of all the formulae.

Optimal averaged Padé-type approximants

“…Spalević [22] derived a new representation of these rules and introduced optimal averaged rules for more general nonnegative real measures. For properties and applications of optimal averaged Gauss rules associated with nonnegative real measures; see [6,7,15,20,23] and references therein.…”