Abstract
Some error estimates in terms of thep—norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.
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Barnett, N.S., Dragomir, S.S. A perturbed trapezoid inequality in terms of the fourth derivative. Korean J. Comput. & Appl. Math. 9, 45–60 (2002). https://doi.org/10.1007/BF03012339
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DOI: https://doi.org/10.1007/BF03012339