Adelaide Research & Scholarship
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https://hdl.handle.net/2440/58759
| Type: | Journal article |
| Title: | Some inequalities relating to upper and lower bounds for the Riemann-Stieltjes integral |
| Author: | Pearce, C. Dragomir, S. |
| Citation: | Journal of Mathematical Inequalities, 2009; 3(4):607-616 |
| Publisher: | Element |
| Issue Date: | 2009 |
| ISSN: | 1846-579X 1846-579X |
| Statement of Responsibility: | S.S. Dragomir And C.E.M. Pearce |
| 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. |
| Keywords: | Riemann–Stieltjes integral trapezoid inequality midpoint inequality weighted Riemann integrals convexity |
| Rights: | Copyright Element, Zagreb |
| Published version: | http://jmi.ele-math.com/03-59/Some-inequalities-relating-to-upper-and-lower-bounds-for-the-Riemann-Stieltjes-integral |
| Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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