Some inequalities relating upper and lower bounds for the Riemann-Stieltjes integral
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Dragomir, Sever S and Pearce, Charles (2009) Some inequalities relating upper and lower bounds for the Riemann-Stieltjes integral. Journal of Mathematical Inequalities, 3 (4). pp. 607-616. ISSN 1846-579X
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/4277 |
| Official URL | http://jmi.ele-math.com/03-59/Some-inequalities-re... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0101 Pure Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID17481. Riemann–Stieltjes integral, trapezoid inequality, midpoint inequality, weighted Riemann integrals, convexity, inequalities |
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