2018/08/14 by Brune, Carl R.
#65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1808.04743
Extensions to the trapezoidal rule using derivative information are studied for periodic integrands and integrals along the entire real line. Integrands which are analytic within a half plane or within a strip containing the path of integration are considered. Derivative-free error bounds are obtained. Alternative approaches to including derivative information are discussed.