论文标题

autour d'unproblèmeFuretémalétudiéParEdmund Landau

Autour d'un problème extrémal étudié par Edmund Landau

论文作者

Balazard, Michel

论文摘要

这篇说明性文章是对兰道界限衍生物的问题的介绍,了解该功能及其第二个衍生物的界限及其一些变体和概括。强调了具有凸面和功能分析,数值整合和近似理论的连接。除其他外,我们描述了相关功能集的极端点集。

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.

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