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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
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