This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties.
This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter.
The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.
€106.99
Table des matières
Preface.- Preliminaries.- Basic properties of Bernstein operators.- Bernstein polynomials as linear operators.- Upper estimates of the error with Bernstein operators.- Bernstein type inequalities.- Converse results.- Iterates of Bernstein polynomials.- Linear combination of Bernstein polynomials.- Final comments.
Langue Anglais ● Format PDF ● Pages 420 ● ISBN 9783319554020 ● Taille du fichier 4.5 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2017 ● Téléchargeable 24 mois ● Devise EUR ● ID 5075172 ● Protection contre la copie DRM sociale
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