On Bernstein's inequality for polynomials

Queffélec, Hervé; Zarouf, Rachid

Type de document :

Compte-rendu et recension critique d'ouvrage

Titre :

On Bernstein's inequality for polynomials

Auteur(s) :

Queffélec, Hervé [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Zarouf, Rachid [Auteur]
Apprentissage, Didactique, Evaluation, Formation [ADEF]

Titre de la revue :

Analysis and Mathematical Physics

Éditeur :

Birkhäuser

Date de publication :

2019-03-20

ISSN :

1664-2368

Discipline(s) HAL :

Mathématiques [math]/Analyse classique [math.CA]

Résumé en anglais : [en]

Bernstein's classical inequality asserts that given a trigonometric polynomial $T$ of degree $n\geq1$, the sup-norm of the derivative of $T$ does not exceed $n$ times the sup-norm of $T$. We present various approaches to ...
Lire la suite >Bernstein's classical inequality asserts that given a trigonometric polynomial $T$ of degree $n\geq1$, the sup-norm of the derivative of $T$ does not exceed $n$ times the sup-norm of $T$. We present various approaches to prove this inequality and some of its natural extensions/variants, especially when it comes to replacing the sup-norm with the $L^p-norm$.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :