On Bernstein's inequality for polynomials

Queffélec, Hervé; Zarouf, Rachid

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

On Bernstein's inequality for polynomials

Author(s) :

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

Journal title :

Analysis and Mathematical Physics

Publisher :

Birkhäuser

Publication date :

2019-03-20

ISSN :

1664-2368

HAL domain(s) :

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

English abstract : [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 ...
Show more >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 $L^p-norm$.Show less >

Language :

Anglais

Popular science :

Non

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