Evaluation of the approximation order by positive linear operators [Elektronische Ressource] / von Paula Anamaria Piţul

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Evaluation of the Approximation Orderby Positive Linear OperatorsAm Fachbereich Mathematik derUniversit¨at Duisburg-Essenzur Erlangung des akademischen Grades einesDoctorˆın Matematic˘aangefertigte DissertationvonPaula Anamaria Pit¸ulausSibiu (Hermannstadt), Rum¨anienReferenten:Prof. Dr. Octavian Agratini - ClujProf. Dr. Petru Blaga - ClujProf. Dr. Sorin Gal - OradeaProf. Dr. dr.h.c. Heiner Gonska - DuisburgProf. Dr. Ioan Ra¸sa - ClujTag der ¨offentlichen Verteidigung an der Babe¸s-Bolyai-Universit¨at in Cluj-Napoca:28. September 2007.Universitatea Babe¸s-BolyaiFacultatea de Matematic˘a ¸si Informatic˘aPaula Anamaria PIT¸ULEvaluarea ordinului de aproximareprin operatori liniari ¸si pozitiviTez˘a de doctoratConduc˘atori ¸stiint¸ifici:Prof. Univ. Dr. P. BLAGAProf. Dr. Dr.h.c. H. GONSKACLUJ-NAPOCA20072To my familyContentsIntroduction ivNotations and symbols 11 Preliminary and auxiliary results 31.1 Positive linear operators . . . . . . . . . . . . . . . . . 31.2 A H¨older-type inequality for positive linear operators . 51.3 Moments of higher order for positive linear operators:inequalities and a recurrence formula . . . . . . . . . . 61.4 Different types of moduli of smoothness . . . . . . . . . 81.5 Zhuk’s function and its applications . . . . . . . . . . . 111.6 K-functionals and their relationship to the moduli . . . 131.7 General quantitative theorems on C[a,b] . . . . . . . . 151.8 On totally positive kernels . . . . . . . . . . . .

Sujets

• Mathematics

Informations

• Publié par: universitat_duisburg-essen
• Publié le: 01 janvier 2007
• Nombre de lectures: 32
• Langue: English

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