## Some inequalities relating to upper and lower bounds for the Riemann-Stieltjes integral.(English)Zbl 1182.26047

Summary: Some new inequalities are obtained relating to the generalized trapezoid and midpoint rules for the Riemann-Stieltjes integral with a convex integrand and monotone nondecreasing integrator. Results are deduced for the special case of weighted Riemann integrals.

### MSC:

 26D15 Inequalities for sums, series and integrals 26D10 Inequalities involving derivatives and differential and integral operators
Full Text: