Code: 06889634

Approximation Q-Convexe

Name: Approximation Q-Convexe
Brand: Omniscriptum
SKU: 06889634
Price: 34.87 EUR
Availability: InStock
Author: Andriy Bondarenko
ISBN: 9786131538551

by Andriy Bondarenko

Language: French
Binding: Paperback
Number of pages: 120
Publisher: Omniscriptum, 2018
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Book synopsis

Ce travail contient des résultats originaux sur l'approximation q-convexe des fonctions continues par des polynômes algébriques et par des fonctions rationnelles: (1) établissement d'une inégalité de type Jackson pour la meilleure approximation 3-convexe par des polynômes algébriques en fonction du module de continuité d'ordre 3 de Ditzian-Totik (chapitre 3); ce résultat renforce les estimations obtenues auparavant par Beatson et Shvedov et complčte la théorie de l'approximation ŕ conservation de forme par des polynômes algébriques. (2) construction de plusieurs contre-exemples montrant que certaines majorations dans l'approximation q-convexe (q=3) par des polynômes algébriques ne peuvent ętre réalisées (chapitre 4) . (3) solution d'un problčme posé par DeVore sur l'ordre exact de l'approximation rationnelle monotone des fonctions de classe de Sobolev (chapitre 5). (4) établissement d'une inégalité de type Bernstein pour la dérivée d'une fonction rationnelle (chapitre 6).