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Autour d'un problème extrémal étudié par Edmund Landau

This expository article is an introduction to Landau's problem of bounding the derivative, knowing bounds for the function and its second derivative, and some of its variants and generalizations. Connexions with convex and functional analysis, numerical integration, and approximation theory are emphasized. Among others, we describe the set of extreme points of the relevant set of functions.

preprint2020arXivOpen access
Michel Balazard
math.CA
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Michel Balazard

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