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The Sinc quadrature and the Sinc indefinite integration are approximationformulas for definite integration and indefinite integration, respectively,which can be applied on any interval by using an appropriate variabletransformation. Their convergence rates have been analyzed for typical casesincluding finite, semi-infinite, and infinite intervals. In addition, forverified automatic integration, more explicit error bounds that are computablehave been recently given on a finite interval. In this paper, such expliciterror bounds are given in the remaining cases on semi-infinite and infiniteintervals.

Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals