Bernstein Operators and Their Properties / by Jorge Bustamante

By:

Bustamante, Jorge [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Cham : Birkhäuser, 2017Description: Online-Ressource (XII, 420 p, online resource)ISBN:

9783319554020

Subject(s):

Additional physical formats: 9783319554013 | Druckausg.: Bernstein operators and their properties. Cham : Birkhäuser, 2017. xii, 420 SeitenRVK: RVK: SK 470LOC classification:

QA401-425

DOI: DOI: 10.1007/978-3-319-55402-0Online resources:

Summary: 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 commentsSummary: 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 alikePPN: PPN: 1658363108Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA

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