Affiliation:
1. College of Air Traffic Management, Civil Aviation University of China, Tianjin 300300, China
Abstract
The derivative-based trapezoid rule for the Riemann-Stieltjes integral is presented which uses 2 derivative values at the endpoints. This kind of quadrature rule obtains an increase of two orders of precision over the trapezoid rule for the Riemann-Stieltjes integral and the error term is investigated. At last, the rationality of the generalization of derivative-based trapezoid rule for Riemann-Stieltjes integral is demonstrated.
Funder
Scientific Research Foundation of Civil Aviation University of China
Subject
General Engineering,General Mathematics
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