Bernstein Operators and Their Properties

Authors: Bustamante, Jorge

  • 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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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-55402-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-55401-3
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  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (10 chapters)

  • Preliminaries

    Bustamante, Jorge

    Pages 1-73

  • Basic Properties of Bernstein Operators

    Bustamante, Jorge

    Pages 75-160

  • Bernstein Polynomials as Linear Operators

    Bustamante, Jorge

    Pages 161-173

  • Upper Error Estimates of Bernstein Operators

    Bustamante, Jorge

    Pages 175-271

  • Bernstein-Type Inequalities

    Bustamante, Jorge

    Pages 273-294

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-55402-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-55401-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Bernstein Operators and Their Properties
Authors
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-55402-0
DOI
10.1007/978-3-319-55402-0
Hardcover ISBN
978-3-319-55401-3
Edition Number
1
Number of Pages
XII, 420
Topics