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Bernstein Operators and Their Properties

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  • © 2017

Overview

  • Covers a uniquely vast range of topics

  • Presents the proofs of almost all the result

  • Includes exercises at the end of each chapter

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Table of contents (10 chapters)

Keywords

About this book

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.

Reviews

“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 Raşa, Mathematical Reviews, November, 2017)

Authors and Affiliations

  • Facultad de Ciencias Físico-Matemáticas, Benemerita Universidad Autonoma de Puebla, Puebla, Mexico

    Jorge Bustamante

Bibliographic Information

  • Book Title: Bernstein Operators and Their Properties

  • Authors: Jorge Bustamante

  • DOI: https://doi.org/10.1007/978-3-319-55402-0

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-55401-3Published: 25 April 2017

  • Softcover ISBN: 978-3-319-85651-3Published: 25 July 2018

  • eBook ISBN: 978-3-319-55402-0Published: 13 April 2017

  • Edition Number: 1

  • Number of Pages: XII, 420

  • Topics: Approximations and Expansions

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