Published Paper

Inserted: 8 aug 2024
Last Updated: 19 aug 2024

Journal: Ann. Inst. H. Poincaré Anal. Non Linéaire
Year: 2024

Abstract:

We prove that if a triplet of functions satisfies almost equality in the Prékopa–Leindler inequality, then these functions are close to a common log-concave function, up to multiplication and rescaling. Our result holds for general measurable functions in all dimensions and provides a quantitative stability estimate with computable constants.

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• A-quantitative-stability-result-for-the-Prekopa-Leindler-inequality-for-arbitrary-measurable-functions.pdf