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Bernstein Operators and Their Properties

By (author) Jorge Bustamante
Format: Hardback
Publisher: Birkhauser Verlag AG, Basel, Switzerland
Published: 25th Apr 2017
Dimensions: w 156mm h 234mm d 24mm
Weight: 782g
ISBN-10: 3319554018
ISBN-13: 9783319554013
Barcode No: 9783319554013
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Synopsis
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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"The book provides many useful historical details. Exercises are included at the end of each chapter. Detailed references are given when proofs are not included. This book is a valuable addition to the rich literature devoted to Bernstein operators. Useful for advanced graduate students and for researchers, it will stimulate further research in this area." (loan Rasa, Mathematical Reviews, November, 2017)