Some inequalities relating upper and lower bounds for the Riemann-Stieltjes integral

Full text for this resource is not available from the Research Repository.

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
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login