Hadamard's inequality and Trapezoid Rules for the Riemann–Stieltjes integral

Lp–Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

“…Follows Mercer approach in [22], Alomari and Dragomir [9] introduced the following three-point quadrature formula:…”

Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp –error estimates

“…Follows Mercer approach in [27], Alomari and Dragomir [10] introduced the following three-point quadrature formula:…”

A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

“…In [8], Cerone et al proved some Ostrowski type inequalities for the Stieltjes integral where the integrand f is absolutely continuous while the integrator u is of bounded variation. For other results concerning inequalities for Stieltjes integrals, see [5,9,10,11,16,18,19,21,23,24].…”