Bernstein Operators and Their Properties

• Main Author: Bustamante, Jorge (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Subjects: Mathematics.; Approximation theory.; Approximations and Expansions.

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...

Table of Contents:

• 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.