Some Inequalities Relating to Upper and Lower Bounds for the Riemann-Stieltjes Integral

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Dragomir, 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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