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Hadamard's inequality and Trapezoid Rules for the Riemann-Stieltjes integral |
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| Authors: | Peter R Mercer |
| Institution: | Department of Mathematics, Buffalo State College, NY 14222, USA |
| Abstract: | We obtain Midpoint and Trapezoid Rules for the Riemann-Stieltjes integral which engender a natural generalization of Hadamard's integral inequality. Error terms are then obtained for this Riemann-Stieltjes Trapezoid Rule and other related quadrature rules. |
| Keywords: | Hadamard's inequality Hermite-Hadamard inequality Trapezoid Rule Riemann-Stieltjes integral |
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