Relative Convexity and Quadrature Rules for the Riemann–stieltjes Integral
نویسنده
چکیده
We develop Trapezoid, Midpoint, and Simpson’s rules for the Riemann-Stieltjes integral, the latter two being new. These rules are completely natural when the notion of relative convexity is used. Mathematics subject classification (2010): 65D30.
منابع مشابه
The Beesack-Darst-Pollard inequalities and approximations of the Riemann-Stieltjes integral
Utilising the Beesack version of the Darst-Pollard inequality, some error bounds for approximating the Riemann-Stieltjes integral are given. Some applications related to the trapezoid and mid-point quadrature rules are provided.
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