Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    5 0 0 0


Comptes Rendus Mathématique
Volume 353, n° 1
pages 5-9 (janvier 2015)
Doi : 10.1016/j.crma.2014.10.011
Received : 10 Mars 2014 ;  accepted : 16 October 2014
On Bernstein and Erdős–Lax's inequalities for quaternionic polynomials
Sur les inégalités de Bernstein et de Erdős–Lax pour les polynômes quaternioniques
 

Sorin G. Gal a , Irene Sabadini b
a University of Oradea, Department of Mathematics and Computer Science, Str. Universitatii Nr. 1, 410087 Oradea, Romania 
b Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy 

Abstract

In this paper the well-known Bernstein's inequality for complex polynomials is extended to the quaternionic setting. We also show that the Erdős–Lax's inequality does not hold in general, but it works for a particular class of polynomials.

The full text of this article is available in PDF format.
Résumé

Dans cet article, l'inégalité de Bernstein, bien connue pour les polynômes de  , est prouvée pour les polynômes quaternioniques. Nous démontrons que l'inégalité de Erdős–Lax n'est pas valide, en général, mais qu'elle est valide pour un ensemble particulier de polynômes.

The full text of this article is available in PDF format.


© 2014  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline