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arXiv · 2608.25532

A sharpened Carlson's integral inequality

Philippe Laurençot
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Abstract

A sharpened version of Carlson's integral inequality is established, which features a remainder term involving a relative distance to the set of extremal functions. A similar approach leads to an alternative derivation of Carlson's and Landau's discrete inequalities and provides another characterization of the optimal constant in Carlson's inequality for finite sums.

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Philippe Laurençot. 2026-08-26. A sharpened Carlson's integral inequality. https://arxiv.org/abs/2608.25532

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