A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications
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Barnett, Neil S and Dragomir, Sever S (2001) A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications. RGMIA research report collection, 4 (2).
Abstract
Some error estimates in terms of the p−norms of the third derivative for the remainder in a perturbed trapezoid formula are given. Applications to composite quadrature formulae, for the expectation of a random variable and for Hermite-Hadamard divergence in Information Theory are pointed out.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17405 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | trapezoid inequality |
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