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Complex systems perspective in assessing risks in artificial intelligence. [PDF]
Kondor D +4 more
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Educational Disparities in Age-Related Hearing Loss and Hearing Aid Use Across Age, Gender, and European Region. [PDF]
Stonkute D, Vierboom Y.
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Simpson-Type Inequalities for Geometrically Relative Convex Functions
Ukrainian Mathematical Journal, 2018Geometrically relative convex functions were introduced by \textit{M. A. Noor} et al. [``Geometrically relative convex functions'', Appl. Math. Inf. Sci. 8, No. 2, 607--616 (2014)]. In this paper, the authors used the concept of geometrically relative convex functions to derive and prove some new Simpson-type integral inequalities.
Noor, M. A., Noor, K. I., Awan, M. U.
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005
An inequality of the Simpson type for an n -times continuously differentiable mapping is given.
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An inequality of the Simpson type for an n -times continuously differentiable mapping is given.
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Two Sharp Inequalities of Simpson Type and Applications
gmj, 2004Abstract Two sharp inequalities of Simpson type are established. Applications in numerical integration are also given.
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On corrected Bullen-Simpson's inequality
Bulletin of the Allahabad Mathematical Society, 2006The aim of this paper is to derive corrected Bullen-Simpson's inequality, starting from corrected Simpson's and dual corrected Simpson's formula. By corrected we mean formulae that approximate the integral not only with the values of the function in certain points but also with the value of the first derivative in end points of the interval.
Pečarić, Josip, Franjić, Iva
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Utility-Oriented Simpson-Type Indexes and Inequality Measures
Calcutta Statistical Association Bulletin, 1999Measures of economic inequality and poverty indexea are generally baaed on the Gini coefficient and some other measures of income inequality. In a broader context of diversity or distributional inequality, there may be a relatively more prominent qualitative flavour, and in view of that, the Gini-Simpaon index may be appropriate.
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Double integral inequalities of Simpson type and applications
Journal of Applied Mathematics and Computing, 2004Double integral inequalities of Simpson type are obtained. These inequalities are sharp. Applications in numerical integration are given.
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