Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules

作者：Dragomir S S^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): E62-E72.

DOI：10.1016/j.na.2008.10.004

• Riemann-Stieltjes integral
• Trapezoidal rules
• Ostrowski inequality

Error bounds in approximating the Riemann-Stieltjes integral in terms of some new generalised trapezoidal rules are given. Applications for approximating the Riemann integral of a two-function product are provided as well.

• 出版日期2009-12