On an integral inequality of Feng Qi.

Akkouchi, Mohamed

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Improvements of some integral inequalities of H. Gauchman involving Taylor's remainder.

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Several new perturbed Ostrowski-like type inequalities.

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In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a half-space. Using only geometric tools, we extend their result to all symmetric log-concave measures on the real line. We give sharp quantitative isoperimetric inequalities and prove that among sets of given measure and given asymmetry (distance to half line, i.e. distance to sets...