On Bernstein's inequality for polynomials
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]
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 >
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
Collections :
Source :
Files
- document
- Open access
- Access the document
- Bernstein_Queffelec_Zarouf_23_03_2019.pdf
- Open access
- Access the document
- 1903.10801
- Open access
- Access the document