Some Inequalities Relating to Upper and Lower Bounds for the Riemann-Stieltjes Integral
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DownloadDragomir, Sever S and Pearce, Charles E. M (2009) Some Inequalities Relating to Upper and Lower Bounds for the Riemann-Stieltjes Integral. Research report collection, 12 (4).
Abstract
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.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17765 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Riemann-Stieltjes integral, trapezoid inequality, midpoint inequality, weighted Riemann integrals, convexity |
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