An integral inequality for twice differentiable mappings and applications
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Abstract
An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical averages of the Midpoint and Trapezoidal quadratures. Inequalities for special means are also given.
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Dragomir, S. S., & Sofo, A. (2000). An integral inequality for twice differentiable mappings and applications. Tamkang Journal of Mathematics, 31(4), 257–266. https://doi.org/10.5556/j.tkjm.31.2000.382
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