Autor: Jorge Bustamante
ISBN-13: 9783319554013
Einband: Book
Seiten: 420
Gewicht: 806 g
Format: 241x156x30 mm
Sprache: Englisch
Covers a uniquely vast range of topics
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.
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.

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Autor: Jorge Bustamante
ISBN-13 :: 9783319554013
ISBN: 3319554018
Erscheinungsjahr: 25.04.2017
Verlag: Springer-Verlag GmbH
Gewicht: 806g
Seiten: 420
Sprache: Englisch
Sonstiges: Buch, 241x156x30 mm, Bibliographie